Question

9. Marcos has $60 dollars to spend at American Eagle. He spent $42.50 on a new sweater. He wants to buy as many packs of socks as he can. If packs of socks cost $4.50 each, what is the maximum number of packs that Marcos can buy? a. Write an inequality to find the number of packs of socks Danny could buy.

Answer 1

EXPLANATION

Let's see the facts:

Available to spend +$60

Spent on a sweater -$42.5

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There are 60 - 42.5 = $17.5 left to spend

The pack of socks cost = $4.5/each

Calling x to the number of packs of socks and turning this into an inequality:

42.5 + 4.5x ≤ 60 [INEQUALITY]

Subtracting -42.5 to both sides:

4.5x ≤ 60 - 42.5

Simplifying:

4.5x ≤ 17.5

Dividing both sides by 4.5:

x ≤ 17.5 / 4.5

Simplifying:

x ≤ 3.9

Answer: The maximum number of packs Danny could buy is 3.