Question

Last summer, an ice cream shop sold a small ice cream for $1.25 and a large ice cream for $3.75. The ice cream shop decided to raise its prices this summer while keeping them proportional to last year's prices. Which of the following answer choices are possible prices for the ice cream this summer?

A.small ice cream: $2.50 , large ice cream: $5.00
B. small ice cream: $1.50, large ice cream: $4.50
C.small ice cream: $2.00, large ice cream: $4.25
D. small ice cream: $1.80, large ice cream: $7.20

Answer 1

Answer:C

Explanation:

keeping proportional and thats the only answer where the difference is still $2.25

Answer 2

Correct choice: B

Explanation:

Proportions

The ice cream shop sold small ice creams for $1.25 each and large ice creams for $3.75 each.

This summer the prices will be raised at the same proportion. If x is the new price for small ice creams and y is the new price for large ice creams, then it should be satisfied:

`(1.25)/(x)=(3.75)/(y)`

Let's test each option:

A.

`(1.25)/(2.50)=0.5`

`(3.75)/(5.00)=0.75`

B.

`(1.25)/(1.50)=0.83`

`(3.75)/(4.50)=0.83`

C.

`(1.25)/(2.00)=0.625`

`(3.75)/(4.25)=0.88`

D.

`(1.25)/(1.80)=0.694`

`(3.75)/(7.20)=0.52`

Correct choice: B