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Math  /  Algebra

Question9. Hugo earned $3517.00\$ 3517.00 last month as a line chef, including tips. He took home $525.00\$ 525.00 in tips. If he worked 176 hours in the month, what is his hourly wage?

Studdy Solution

STEP 1

1. Hugo's total earnings last month were \$3517.00.
2. Hugo earned \$525.00 in tips.
3. Hugo worked 176 hours in the month.
4. We need to find Hugo's hourly wage excluding tips.

STEP 2

1. Calculate Hugo's earnings from his hourly wage.
2. Define a variable for the hourly wage.
3. Write an equation to represent the problem.
4. Solve the equation to find the hourly wage.

STEP 3

Calculate Hugo's earnings from his hourly wage by subtracting the tips from his total earnings.
Total earnings = \$3517.00
Tips = \$525.00
Earnings from hourly wage = Total earnings - Tips
Earnings from hourly wage=3517−525 \text{Earnings from hourly wage} = 3517 - 525
Earnings from hourly wage=2992 \text{Earnings from hourly wage} = 2992

STEP 4

Define a variable for the hourly wage. Let w w be Hugo's hourly wage.

STEP 5

Write an equation to represent the problem. Since Hugo worked 176 hours, his earnings from his hourly wage can be expressed as:
176w=2992 176w = 2992

STEP 6

Solve the equation to find the hourly wage. Divide both sides of the equation by 176 to isolate w w :
w=2992176 w = \frac{2992}{176}
w=17 w = 17
Hugo's hourly wage is:
17 \boxed{17}

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