Question

6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

apple juice, and x pounds of potato salad.
Write and solve an inequality to find the
possible numbers of pounds of potato
salad he can buy?
Apple
Define variable:
Juice
POTAS

Answer 1

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

`a=\$4.25`

`b=\$2.25`

`c=\$4.00/lb`

we know that

He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

`a+b+cx \leq 8`

substitute the given values

`4.25+2.25+4.00x \leq 8`

Solve for x

Combine like terms

`6.50+4.00x \leq 8`

Subtract 6.50 both sides

`4.00x \leq 8-6.50`

`4.00x \leq 1.50`

Divide by 4 both sides

`x \leq 1.50/4.00`

`x \leq 0.375\ lbs`

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375