Question

Eric has $115 to spend on back to school clothes. So far, he has spent $90. He also wants to buy socks, which cost $5 for each pair. a. Write an inequality to represent the greatest number of pairs of socks he can buy.

Answer 1

Given:

Total amount = $115

Amount spent = $90

Cost of each pair of socks = $5

To find:

The inequality to represent the greatest number of pairs of socks he can buy.

Solution:

Let x be the number of pairs of socks he can buy.

Cost of 1 pair of socks = $5

Cost of x pair of socks = $5x

Sum of amount spent and cost of x pair of socks must be less than or equal to the total amount he has.

`90+5x\leq 115`

`5x\leq 115-90`

`5x\leq 25`

Divide both sides by 5.

`x\leq (25)/(5)`

`x\leq 5`

The maximum value of x is 5. So, the maximum number of pair of socks is 5.

Therefore, the inequality of the given situation is
`90+5x\leq 115` and
`x\leq 5` represent the greatest number of pairs of socks he can buy.