Question

1) Carmen has a $350 gift card to spend at Modell's. She wants to buy 2 pairs of sneakers that cost $100 each. She wants to find the possible number of socks she can buy, knowing that a pair costs $8. a) Write an inequality that Carmen can use to determine the number of socks, x, she can buy? b) Solve the Inequality.

Answer 1

Answer: a.
`200+8x\leq350`

b. she can buy almost 18 pair of socks.

Explanation:

Let x = number of socks Carman can buy.

Given: Cost of 1 pair of sneakers = $100

Then, cost of 2 pairs of sneakers = 2 ($100) = $200

Cost of a pair of socks = $8

Cost of x pair of socks = 8x

Total cost of sneakers and socks = 200+8x

As she has a gift card for $350 to spend.

a. Required inequality :
`200+8x\leq350`

b. To solve it subtract 200 from both sides, we get

`8x\leq150`

Divide both sides by 8

`x\leq18.75`

i.e. she can buy almost 18 pair of socks.