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
• B. 4
• C. 5
• D. 6

Answer 1

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

$⟹$ $\frac{25}{25}$(0.95 + $x$) = $\frac{26.25}{25}$
$⟹$ 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.