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Additional Exercises 6.1
Write each ratio as a ratio of whole numbers using fractional notation in simplest form.

6 to 17
8 to 24

2(1)/(4) to 
3(3)/(8)
3.5 to 10
12 to 18
2.8 to 5.6
60 miles to 15 miles
280 acres to 120 acres
78 gallons to 86 gallons.

$85 to 
$120
0.6 meters to 3 meters

A rectangular storage building is 20 feet long and 15 feet wide.
12. Find the ratio of the width to the length in simplest terms.
13. Find the ratio of the length to the perimeter of the building.
14. Find the ratio of the width to the perimeter of the building.


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8:24

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12:18

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A math class has 18 women and 
10men.
Find the ratio of men to women.
Find the ratio of men to total students.

Write each rate as a unit rate.
17. 156 calories in 12 ounces
18. 434 miles in 7 hours
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Additional Exercises 66.11\newlineWrite each ratio as a ratio of whole numbers using fractional notation in simplest form.\newline11. 66 to 1717\newline22. 88 to 2424\newline33. 214 2 \frac{1}{4} to 338 3 \frac{3}{8} \newline44. 33.55 to 1010\newline55. 1212 to 1818\newline66. 22.88 to 55.66\newline77. 6060 miles to 1515 miles\newline88. 280280 acres to 120120 acres\newline99. 7878 gallons to 8686 gallons.\newline1010. $85 \$ 85 to $120 \$ 120 \newline1111. 00.66 meters to 33 meters\newlineA rectangular storage building is 2020 feet long and 1515 feet wide.\newline1212. Find the ratio of the width to the length in simplest terms.\newline1313. Find the ratio of the length to the perimeter of the building.\newline1414. Find the ratio of the width to the perimeter of the building.\newline11. \qquad 22. 8:24 8: 24 \newline33. \qquad \newline44. \qquad \newline \qquad 12:18 12: 18 \newline66. \qquad \newline77. \qquad \newline88. \qquad \newline99. \qquad \newline1010. \qquad \newline1111. \qquad \newline1212. \qquad \newline1313. \qquad \newline1414. \qquad \newlineA math class has 1818 women and 338 3 \frac{3}{8} 99.\newline1515. Find the ratio of men to women.\newline1616. Find the ratio of men to total students.\newlineWrite each rate as a unit rate.\newline1717. 156156 calories in 1212 ounces\newline1818. 434434 miles in 77 hours\newline1515. \qquad \newline1616. \qquad \newline77. \qquad \newline88. \qquad

Full solution

Q. Additional Exercises 66.11\newlineWrite each ratio as a ratio of whole numbers using fractional notation in simplest form.\newline11. 66 to 1717\newline22. 88 to 2424\newline33. 214 2 \frac{1}{4} to 338 3 \frac{3}{8} \newline44. 33.55 to 1010\newline55. 1212 to 1818\newline66. 22.88 to 55.66\newline77. 6060 miles to 1515 miles\newline88. 280280 acres to 120120 acres\newline99. 7878 gallons to 8686 gallons.\newline1010. $85 \$ 85 to $120 \$ 120 \newline1111. 00.66 meters to 33 meters\newlineA rectangular storage building is 2020 feet long and 1515 feet wide.\newline1212. Find the ratio of the width to the length in simplest terms.\newline1313. Find the ratio of the length to the perimeter of the building.\newline1414. Find the ratio of the width to the perimeter of the building.\newline11. \qquad 22. 8:24 8: 24 \newline33. \qquad \newline44. \qquad \newline \qquad 12:18 12: 18 \newline66. \qquad \newline77. \qquad \newline88. \qquad \newline99. \qquad \newline1010. \qquad \newline1111. \qquad \newline1212. \qquad \newline1313. \qquad \newline1414. \qquad \newlineA math class has 1818 women and 338 3 \frac{3}{8} 99.\newline1515. Find the ratio of men to women.\newline1616. Find the ratio of men to total students.\newlineWrite each rate as a unit rate.\newline1717. 156156 calories in 1212 ounces\newline1818. 434434 miles in 77 hours\newline1515. \qquad \newline1616. \qquad \newline77. \qquad \newline88. \qquad
  1. Define 9%9\% Solution: Let's call the amount of 9%9\% solution to be added "xx" gallons.
  2. Calculate Acetone in 1414% Solution: The amount of acetone in the 14%14\% solution is 100100 gallons ×0.14=14\times 0.14 = 14 gallons.
  3. Calculate Acetone in 99% Solution: The amount of acetone in the 9%9\% solution is xx gallons 0.09* 0.09.
  4. Find Total Solution Amount: The total amount of solution after adding xx gallons of 9%9\% solution is 100100 gallons + xx gallons.
  5. Calculate Total Acetone in New Solution: The total amount of acetone in the new solution should be 10%10\% of the total solution, so (100+x)(100 + x) gallons 0.10* 0.10.
  6. Set Up Equation: Now we set up the equation: 1414 gallons + (x×0.09)=(100+x)×0.10(x \times 0.09) = (100 + x) \times 0.10.
  7. Simplify Equation: Simplify the equation: 14+0.09x=10+0.10x14 + 0.09x = 10 + 0.10x.
  8. Isolate x: Rearrange the equation to isolate x: 0.09x0.10x=10140.09x - 0.10x = 10 - 14.
  9. Solve for x: Solve for x: 0.01x=4-0.01x = -4.
  10. Final Solution: Divide both sides by 0.01-0.01 to find xx: x=400x = 400.

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