# Solve Ratio Problems Using Double Number Lines Problems

8 questions

### #1 of 8:Mild

Solve ratio problems using double number lines

<p>Each day, Joanne puts `4` quarters and `1` nickel into her piggy bank. </p><ul><li>Complete the double number line to represent the number of each type of coin `2, 3, 4,` and `5` days.</li><li>How many nickels does Joanne have if she has collected `20` quarters?</li><li>How many quarters does Joanne have if she has collected `4` nickels?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Quarters" }, "title_bottom": { "text": "Nickels" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "4" }, "label_bottom": { "type": "text", "text": "1" } }, { "position": 40, "label_top": { "type": "text", "text": "8" }, "label_bottom": { "type": "text", "text": "2" } }, { "position": 60, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": "3" } }, { "position": 80, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": "4" } }, { "position": 100, "label_top": { "type": "text","text": "20" }, "label_bottom": { "type": "text", "text": "?" } } ]}'></DoubleNumberline ></selectivedisplay>

### #2 of 8:Medium

Solve ratio problems using double number lines

<p>A pack of candy bars contains `4` bars and sells for `\$2.50`. </p><ul><li>Complete the double number line below to represent the number of bars and the total cost for `2, 3, 4,` and `5` packs.</li> <li>How much money do you need for `8` candy bars?</li><li>How many candy bars can you get with `\$12.50`? </li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Price(\$)" }, "title_bottom": { "text": "Candy bars" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "2.50" }, "label_bottom": { "type": "text", "text": "4" } }, { "position": 40, "label_top": { "type": "text", "text": "5" }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 60, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "?" } }, { "position": 80, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "16 " } }, { "position": 100, "label_top": { "type": "text", "text": "12.50 " }, "label_bottom": { "type": "text", "text": " ?" } } ]}'></DoubleNumberline ></selectivedisplay>

### #3 of 8:Medium

Solve ratio problems using double number lines

<p>To make `1` batch of spaghetti sauce, Frank uses `1.5` kilograms of meat and `3` onions.</p><ul><li>Complete the double number line below to represent the amount of each ingredient in `2, 3, 4, 5, 6,` and `7` batches. </li> <li>How many onions does Frank need if he has used `10.5` kilograms of meat?</li><li>How many kilograms of meat does Frank need if he has used `9` onions?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Meat (kilograms)" }, "title_bottom": { "text": "Onions" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 14.28, "label_top": { "type": "text", "text": "1.5" }, "label_bottom": { "type": "text", "text": "3" } }, { "position": 28.56, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "6" } }, { "position": 42.84, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "9" } }, { "position": 57.12, "label_top": { "type": "text", "text": "6" }, "label_bottom": { "type": "text", "text": "12" } }, { "position": 71.4, "label_top": { "type": "text", "text": "7.5" }, "label_bottom": { "type": "text", "text": "15" } }, { "position": 85.68, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "18" } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

### #4 of 8:Medium

Solve ratio problems using double number lines

<p>The Environmental Club at a middle school plants trees during their meeting each week. Each week they plant `13` deciduous trees and `16` evergreen trees. </p><ul><li>Complete the double number line below to represent the number of each type of tree that is planted by the club over weeks `2, 3, 4, 5,` and `6`. </li><li>How many deciduous trees will be planted when `64` evergreen trees have been planted?</li><li>How many evergreen trees will be planted when `78` deciduous trees have been planted?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Deciduous tree " }, "title_bottom": { "text": "Evergreen tree" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 16.66, "label_top": { "type": "text", "text": "13" }, "label_bottom": { "type": "text", "text": "16" } }, { "position": 33.32, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "32" } }, { "position": 49.98, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 66.64, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "64" } }, { "position": 83.3, "label_top": { "type": "text", "text": "65" }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": " ? " } } ]}'></DoubleNumberline ></selectivedisplay>

### #5 of 8:Medium

Solve ratio problems using double number lines

<p>Amerie is putting together prize bags for a golfing tournament. Each of the bags will contain `18` golf tees and `15` golf balls. </p><ul><li>Complete the double number line below to represent the number of each type of equipment that is included in `2, 3, 4, 5, 6,` and `7` prize bags.</li> <li>How many golf tees will Amerie use if she has used `90` golf balls?</li><li>How many golf balls will Amerie use if she has used `126` golf tees?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Golf tees" }, "title_bottom": { "text": "Golf balls" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 14.28, "label_top": { "type": "text", "text": "18" }, "label_bottom": { "type": "text", "text": "15" } }, { "position": 28.56, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "30" } }, { "position": 42.84, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "45" } }, { "position": 57.12, "label_top": { "type": "text", "text": "72" }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 71.4, "label_top": { "type": "text", "text": "90 " }, "label_bottom": { "type": "text", "text": "75" } }, { "position": 85.68, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

### #6 of 8:Spicy

Solve ratio problems using double number lines

<p>This double number line shows the workout routine that Kenny has designed for himself to stay in shape. Each day he plans to run `1` mile, and then will walk for `1/5` of a mile to cool down. </p><ul><li>Fill in the missing values for the number of miles that Kenny will complete in `2, 3,` and `4` days. </li><li>How many miles has Kenny run if he walked `4/5` of a mile during cool downs?</li><li>How many miles has Kenny walked to cool down if he has run `3` miles?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": " Kenny runs (miles)" }, "title_bottom": { "text": "Kenny walks (miles)" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 25, "label_top": { "type": "text", "text": "1" }, "label_bottom": { "type": "text", "text": "1/5" } }, { "position": 50, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 75, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline > </selectivedisplay>

### #7 of 8:Spicy

Solve ratio problems using double number lines

<p>Jaxon has a horse. Every day his horse eats `16` pounds of hay and `1 1/2` pounds of oats. </p><ul><li>Create a double number line that represents the amount of hay and oats that Jaxon will need to feed his horse for `2, 3, 4,` and `5` days. </li><li>How many pounds of oats will Jaxon have fed his horse when the horse has eaten `48` pounds of hay?</li><li>How many pounds of hay will Jaxon have fed his horse when the horse has eaten `7.5` pounds of oats?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Hay (pounds)" }, "title_bottom": { "text": "Oats (pounds)" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 20, "label_top": { "type": "text", "text": "16" }, "label_bottom": { "type": "text", "text": "1 1/2" } }, { "position": 40, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 60, "label_top": { "type": "text", "text": " ?" }, "label_bottom": { "type": "text", "text": "? " } }, { "position": 80, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "? " } } ]}'></DoubleNumberline ></selectivedisplay>

### #8 of 8:Spicy

Solve ratio problems using double number lines

<p>Barbara went to the craft store to purchase some yarn for a sweater she is knitting. She spent `\$3.90` to buy a bag containing `2` balls of yarn. </p><ul><li>Create a double number line that represents the price Barbara will pay for buying `2, 3,` or `4` bags of yarn. </li><li>How much money will Barbara pay for `8` balls of yarn?</li> <li>How many balls of yarn can Barbara buy for `\$11.70`?</li></ul><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><DoubleNumberline data-props='{ "width": 320, "title_top": { "text": "Cost (dollars)" }, "title_bottom": { "text": "Balls of yarn" }, "points": [ { "position": 0, "label_top": { "type": "text", "text": "0" }, "label_bottom": { "type": "text", "text": "0" } }, { "position": 25, "label_top": { "type": "text", "text": "3.90" }, "label_bottom": { "type": "text", "text": "2" } }, { "position": 50, "label_top": { "type": "text", "text": "?" }, "label_bottom": { "type": "text", "text": " ?" } }, { "position": 75, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "?" } }, { "position": 100, "label_top": { "type": "text", "text": "? " }, "label_bottom": { "type": "text", "text": "?" } } ]}'></DoubleNumberline ></selectivedisplay>

A double number line diagram uses a pair of parallel number lines to represent equivalent ratios. To find ratios with double line ratio you primarily need to put numbers on double line. Solving ratios with double number lines (practice) diagrams help students more easily “see” that there are many equivalent forms of the same ratio.

These problems can be discussed by teachers in a classroom to enhance students ...

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Ratios And Rates
6.RP.A.3

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”