Question

Dmitri has a budget of $50 for food at her party. He spent $32 on pizza and drinks. Cupcakes cost $1.25 each. The inequality below can be used to determine the number of cupcakes, c, that Dmitri can buy. 32+1.25c<50 Which statement below is true? a. Dmitri can buy 10 cupcakes. b. Dmitri can buy 15 cupcakes. c. Dmitri can buy 20 cupcakes. d. Dmitri cannot buy any cupcakes.

Answer 1

Dmitri can afford to buy 10 cupcakes with his remaining budget, as it is the closest whole number less than the maximum of 14 cupcakes that the inequality 32 + 1.25c < 50 allows, so correct option is a.

Step-by-step explanation:

Dmitri can determine the number of cupcakes he can buy given his budget constraint using the inequality 32 + 1.25c < 50.

To find the maximum number of cupcakes Dmitri can afford, we need to solve for 'c'.

First, we subtract 32 from both sides of the inequality:
1.25c < 18.

Next, we divide both sides by 1.25 to isolate 'c':
c < 14.4.

Since Dmitri can't buy a fraction of a cupcake, the maximum whole number of cupcakes he can buy is 14.

Therefore, the true statement is (a) Dmitri can buy 10 cupcakes, as it is the only option less than 14 and therefore satisfies the inequality.