Question

Solve the following Word Problems:

1. Marietta was given a raise of $0.75 per hour, which gave her a new wage of $12.25 per hour. Write and solve an equation to determine Marietta’s hourly wage before her wage. (Show which properties you used in each step)

2.The formula p=8n-30gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 are subtracted.

a. If the profit is $170, how many items were bought?

b. If the same number of items were bought but the expenses were changed from $30 to $40, would the profit increase or decrease and by how much? Explain.

Answer 1

1. $11.50 2a. 25 2b. Decrease by 10

Explanation:

1. Let's write Marietta's wage before a raise as x

$12.25 = x + $0.75

$12.25 - $0.75 = x

x = $11.50

2a. Let's substitute p with the actual value ($170)

170 = 8n - 30

200 = 8n

n = 200/8 = 25

2b.

p = 8*25 - 40

p = 200 - 40 = 160

160 < 170 so the profit decreased

It decreased by 10 (170 - 160).