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Resources

Solve proportions: word problems

15

souvenirs during

3

days of vacation. After

4

days of vacation, how many total souvenirs will Stefan have bought? Assume the relationship is directly proportional.

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_____ souvenirs

Rosanne earned a total of

\$4

2

cups of lemonade. How many cups of lemonade does Rosanne need to sell in all to earn

\$20

? Assume the relationship is directly proportional.

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12\,\text{kilograms}

of dough after working

4\,\text{hours}

. How much dough did Lila prepare if she worked for

6\,\text{hours}

? Assume the relationship is directly proportional.

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Francesca's Auto Wash had revenues of

\$15

3

customers. After serving

4

customers, how much revenue will Francesca's Auto Wash have? Assume the relationship is directly proportional.

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\$

Marco's retirement party will cost

\$9

3

guests. What is the maximum number of guests there can be if Marco can afford to spend a total of

\$12

on his retirement party? Assume the relationship is directly proportional.

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Joey ran a total of

12

miles over the course of

3

track practices. How many miles would Joey have run after

4

track practices? Assume the relationship is directly proportional.

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10\,\text{liters}

2\,\text{days}

. How much jam did Linda jar if she spent

3\,\text{days}

making jam? Assume the relationship is directly proportional.

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4\,\text{liters}

2\,\text{days}

. How much jam did Oliver jar if he spent

10\,\text{days}

making jam? Assume the relationship is directly proportional.

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Logan's retirement party will cost

\$12

3

guests. What is the maximum number of guests there can be if Logan can afford to spend a total of

\$16

on his retirement party? Assume the relationship is directly proportional.

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Kylie wrote a total of

14

7

hours. How many hours will Kylie have to spend writing this week in order to have written a total of

20

pages? Assume the relationship is directly proportional.

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Shawn took a total of

6

quizzes over the course of

3

weeks. How many weeks of school will Shawn have to attend this quarter before he will have taken a total of

10

quizzes? Assume the relationship is directly proportional.

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Nate learned to sing a total of

18

pieces over the course of

9

weeks of voice lessons. After

10

weeks of voice lessons, how many pieces will Nate be able to sing, in total? Assume the relationship is directly proportional.

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Adriana learned to play a total of

4

pieces over the course of

2

weeks of piano lessons. After

10

weeks of piano lessons, how many total pieces will Adriana be able to play? Assume the relationship is directly proportional.

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Kayla's graduation picnic will cost

\$16

8

attendees. At most how many attendees can there be if Kayla budgets a total of

\$18

for her graduation picnic? Assume the relationship is directly proportional.

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_____ attendees

Lindsey took a total of

10

pages of notes during

5

hours of class. After attending

9

hours of class, how many total pages of notes will Lindsey have in her notebook? Assume the relationship is directly proportional.

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Barbara decided to take a bicycle trip to the observatory. The road has a vertical rise of

306

1800

feet of horizontal change. In percent, what is the grade of this road?

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The grade of the road is

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\%. (Simplify your answer.)

Which two integers is

-\sqrt{91}

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-9

-8

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-10

-9

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-11

-10

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-12

-11

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After returning a few items from online shopping, Luca received a credit of

125

dollars in his bank account.

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What does the number

125

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1

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(A) Luca received

125

dollars in his account.

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125

dollars to the bank.

4

180

people hiked on the trails near Lotus Lake. Of these,

\frac{1}{3}

camped overnight. How many of the hikers did not camp overnight?

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Credit card companies use negative balances to represent when the credit card company owes the customer money and positive balances to represent when the customer owes the credit card company money.

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Sneha has a balance of

0

dollars with her credit card company.

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What does a balance of

0

dollars represent?

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1

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(A) Sneha owes the credit card company money.

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B Neither Sneha nor the credit card company owes money.

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(C) The credit card company owes Sneha money.

Bob's Gift Shop sold

250

cards for Mother's Day. One salesman, Arturo, sold

10 \%

of the cards sold for Mother's Day. How many cards did Arturo sell?

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Challenge (OPTIONAL)

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Adam, Bob, Clair and Dave come to a rickety old wooden bridge. The bridge is only able to carry the weight of two of them at a time. The light is fading, so they must carry their only flashlight on each crossing. Because of their fitness levels and some minor injuries, they cross at different speeds.

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Adam can cross in

1

2

minutes, Claire in

5

minutes, and Dave in

10

minutes. Claire declares that the crossing can be completed in less than

20

minutes. Do you agree? Prove it!

4 \frac{1}{2}

-inch candle burns down in

9

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

3

-inch candle to burn down?

2

.) A life insurance company examined the medical records of

1,005

women who died in

2010

and discovered that

300

of the women died from causes related to cancer. Moreover,

473

1,005

women had at least one parent who suffered from cancer, and, of these

473

225

died from causes related to cancer.

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P(A)

be the probability that a given woman from the total group died of cancer, and let

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P(A\mid B)

be the probability that a given woman died of cancer, given that she had at least one parent who suffered from cancer. Calculate

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\frac{P(A\mid B)}{P(A)}

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0.627

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300

0

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300

1

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300

2

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300

3

1 \frac{3}{4}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

1

-inch candle to burn down?

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3 \frac{1}{2}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

5

-inch candle to burn down?

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3 \frac{1}{2}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

4 \frac{1}{2}

-inch candle to burn down?

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1 \frac{3}{4}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

1

-inch candle to burn down?

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From midnight to

9

00

am, the temperature rose

\frac{3}{5}^{\circ} \mathrm{C}

each hour. If the temperature at midnight was

-9^{\circ} \mathrm{C}

, what was the temperature at

9

00

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\square

{ }^{\circ} \mathrm{C}

Yesterday the temperature at noon was

20.4^{\circ} \mathrm{F}

. By midnight, it had gone down by

28.9^{\circ} \mathrm{F}

. What was the temperature at midnight?

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\square

{ }^{\circ} \mathrm{F}

Yesterday, between noon and midnight, the temperature went down by

28.7^{\circ} \mathrm{F}

. If the temperature was

-13.5^{\circ} \mathrm{F}

at midnight, what was it at noon?

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\square

{ }^{\circ} \mathrm{F}

Pamela drove her car

99

kilometers and used

9

liters of fuel. She wants to know how many kilometers

(k)

she can drive with

12

liters of fuel. She assumes the relationship between kilometers and fuel is proportional.

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How many kilometers can Pamela drive with

12

liters of fuel?

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\mathrm{km}

Elio makes candles that are

14 \mathrm{~cm}

tall. Each candle burns

8

hours before going out. He is wondering how many hours a

21 \mathrm{~cm}

tall candle can burn for.

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He assumes that the relationship between the height of a candle and number of hours it burns

(h)

is proportional.

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21 \mathrm{~cm}

tall candle burn for?

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