Question

Liam buys a box of crayons for 7.50, a box of markers for 9.25, and 3 packs of pencils. He buys these item by using a gift card worth 25. What can be the price for each pack of pencils?

a. Write and solve an inequality to model the situation.

Answer 1

Start by subtracting 7.50 from 25 that equal 17.5 than 9.25 from 17.5 that equals 8.25 and divid that by 3 equals 2.75 is your answer

Answer 2

Explanation:

Let's start by defining some variables:

Let x be the price of each pack of pencils.

Liam buys 3 packs of pencils, so he spends a total of 3x dollars on pencils.

He also buys a box of crayons for 7.50 dollars and a box of markers for 9.25 dollars, so his total spending is: 7.50 + 9.25 + 3x

However, he pays for all of this using a gift card worth 25 dollars, so we can set up an inequality to model the

situation: 7.50 + 9.25 + 3x <= 25

Now we can solve for x: 7.50 + 9.25 + 3x <= 25

16.75 + 3x <= 25

3x <= 8.25

`x \leqslant 2.75`

Therefore, the price for each pack of pencils must be less than or equal to 2.75 dollars.