Question

A band sells their albums for $10 each and T-shirts for $15 each. Sarah wants to buy some albums and T-shirts as gifts for her friends, but she can spend at most a total of $75, and only has enough hands to buy at most 4 items.

Write a system of inequalities using x and y variables to represent this situation.

Answer 1

Given:-

Cost of albums = $10

Cost of T-shirts = $15

Total money she can spend = $75

No. of items she can buy at most = 4

Solution:-

No. of albums = x

No. of T-shirts = y

`10x + 15y \leqslant 75`

Answer 2

• See below

Explanation:

Albums = x, T-shirts = y

Inequalities as per question are given below.

She can spend at most a total of $75:

• 10x + 15y ≤ 75

She can buy at most 4 items:

• x + y ≤ 4