1 Answer

Danpop · Answer 1 · 2021-04-06T18:27:57+0000

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.

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