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Math  /  Algebra

Question15. For a summer landscaping job Jalen makes $17\$ 17 per hour plus a bonus of $1.50\$ 1.50 for each lawn that he cuts. How much would Jalen make if he cuts 36 lawns while working 42 hours in one week? Create an equation and then solve the problem.

Studdy Solution

STEP 1

1. Jalen earns \$17 per hour.
2. Jalen receives a bonus of \$1.50 for each lawn he cuts.
3. Jalen cuts 36 lawns.
4. Jalen works 42 hours in one week.
5. We need to calculate Jalen's total earnings for the week.

STEP 2

1. Define variables for Jalen's earnings.
2. Create an equation to represent Jalen's total earnings.
3. Substitute the given values into the equation.
4. Solve the equation to find Jalen's total earnings.

STEP 3

Define variables for Jalen's earnings.
Let H H be the number of hours Jalen works. Let L L be the number of lawns Jalen cuts. Let E E be Jalen's total earnings.

STEP 4

Create an equation to represent Jalen's total earnings.
Jalen's earnings from hours worked is 17H 17H . Jalen's earnings from lawns cut is 1.50L 1.50L . Thus, the total earnings equation is:
E=17H+1.50L E = 17H + 1.50L

STEP 5

Substitute the given values into the equation.
Given H=42 H = 42 and L=36 L = 36 , substitute these values into the equation:
E=17(42)+1.50(36) E = 17(42) + 1.50(36)

STEP 6

Solve the equation to find Jalen's total earnings.
First, calculate the earnings from hours worked:
17×42=714 17 \times 42 = 714
Next, calculate the earnings from lawns cut:
1.50×36=54 1.50 \times 36 = 54
Add these two amounts to find the total earnings:
E=714+54=768 E = 714 + 54 = 768
Jalen's total earnings for the week is:
768 \boxed{768}

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