Middle School

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------------------------------------------------ 1. A van travels 240 miles on 20 gallons of gas. How far does it travel per gallon?

2. Carlos installed 24 wooden cabinets in 8 days. On average, how many cabinets did he install each day?

3. Which is a better buy: 100 sheets of binder paper at $2.50, or 150 sheets at $3.50?

4. Julie is trying to choose between two packs of cookies. Pack A has 36 cookies for $5.90. Pack B has 24 cookies for $4.10. Which pack has cheaper cookies?

5. Anita is offered two summer jobs. One is in retail and pays $500 for a 40-hour work week. The other job is at a restaurant and pays $12 an hour. Which job has a higher hourly rate?

Answer :

Answer with explanation:

Ques 1)

A van travels 240 miles on 20 gallons of gas.

This means that 20 gallons of gas is used to travel 240 miles.

This means that:

1 gallon of gas is used to travel :

[tex]\dfrac{240}{20}=12\ miles[/tex]

Hence, it travels 12 miles per gallon.

Ques 2)

Carlos installed 24 wooden cabinets in 8 days.

i.e. in 8 days he install 24 cabinets

This means in 1 day he will install

[tex]\dfrac{24}{8}=3\ cabinets[/tex]

On the average, he will install 3 cabinets each day.

Ques 3)

100 sheets cost $ 2.50

This means that cost of 1 sheet is: $ 0.0250

( since, [tex]\dfrac{2.50}{100}=0.0250[/tex] )

150 sheets at $3.50

This means that cost of 1 sheet is: $ 0.0233

( since, [tex]\dfrac{3.50}{150}=0.02333[/tex] )

This means that the cost per sheet is cheaper in the buy:

150 sheets at $3.50.

Ques 4)

Pack A has 36 cookies for $5.90.

This means that cost of 1 cookie is: $ 0.16388 )

( since, [tex]\dfrac{5.90}{36}=0.16388[/tex] )

and Pack B has 24 cookies for $4.10.

This means that cost of 1 cookie is: $ 0.170833

( since, [tex]\dfrac{4.10}{24}=0.170833[/tex] )

The cost per cookie is cheaper in Pack A.

Hence, the pack which has cheaper cookies is: Pack A.

Ques 5)

One is in retail and pays $500 for a 40-hour work week.

This means that the payment for 1 hour is: $ 12.5

( since, [tex]\dfrac{500}{40}=12.5[/tex] )

The other job is at a restaurant and pays $12 an hour.

This means that the job which has a higher hourly rate is:

In retail which pays $500 for a 40-hour work week.

( since 12.5>12 )

Answer:

van : 12 miles per gallon

cabinets: 3 cabinets a day

retail job for $500

Step-by-step explanation:

van: 240 miles/20 gallons = 12 miles per gallon

cabinets: 24/8= 3

jobs: $500 for 40 hours and $12 times 40 hours gets you $480

first job pays $20 bucks more