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Question

The total cost for purchasing 25 ice cream scoops is $26.25. The base price of an ice cream scoop is $0.95, and the frosting costs extra.

If the frosting cost increases by $0.2, calculate the number of ice cream scoops we fall short of.

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is B 4
Given:
Number of ice cream scoops required = 25
Base price = $0.95
Total budget = $26.25
Let the original cost of frosting be x.

We know,
Number of ice cream scoops × (Cost of ice cream scoop + Cost of frosting) = Total budget

25 × (0.95 + x) = 26.25

2525(0.95 + x) = 26.2525
0.95 + x = 1.05
x = 0.10

New cost of frosting = 0.10 + 0.20
= $0.30

Let y be the number of ice cream scoops after the increase in frosting price.

So,
y × (0.95 + 0.30) = 26.25
y × 1.25 = 26.25
y = 21

Number of ice cream scoops that fall short
= Ice cream scoops before price hike - Ice cream scoops after price hike
= 25 - 21
= 4

Therefore, we fall short of 4 ice cream scoops.

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