Question

(03.05 MC)Ben has $19 to spend. He spent $7.25, including tax, to buy a notebook. He needs to save $2.75 but he wants to buy a snack. If pretzels cost $0.50 per package including tax, what inequality would show the maximum number of packages that Ben can buy? Solve your inequality by showing your work and steps.

Answer 1

2.75>19-7.25 - 0.5(x)

2.75> 11.75 - 0.5x

0.5x> 11.75 - 2.75

0.5x >9

x>18 0r x∈(18, +∞)

Answer 2

Answer: ($19-$7.25) ≥ 0.50 p + 2.75

The maximum number of packages he can buy is 18.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

• $19 to spend
• Notebook: $7.25
• Needs to save $2.75
• Cost of pretzels: $0.50 per package (p)

So, he has $19 and buys a notebook for $7.25 ($19-$7.25).

He needs to save $2.75 ($19-$7.25 ≥ $2.75)

Pretzels cost, $0.50 per package including tax. ($0.50 p)

Mathematically speaking:

($19-$7.25) ≥ 0.50 p + 2.75

11.75 ≥ 0.50 p + 2.75

11.75- 2.75 ≥ 0.50 p

9 ≥ 0.50 p

9/0.50 ≥ 0.50 p

18≥ p

This inequality shows that the maximum number of packages he can buy is 18.