Question

Th SEDelco

Solving with the Distributive Property

Instruction Active

U

Solving a Real-World Equation

.

Matt makes $80 a month mowing lawns. His friend Solve the linear equation to find the value for x

James also mows lawns, but he makes x dollars less per

month than Matt does. James makes a total of $816 per

x = 8

year. How much less each month does James make than How much does James earn each month?

Matt?

Remember that x represents how much less per

Equation: 12(80 – x) = 816

month James makes than Matt

Answer 1

Solve the linear equation to find the value for x.

✔ x = 12

How much does James earn each month?

Remember that x represents how much less per month James makes than Matt.

✔ $68

Explanation:

Answer 2

Corrected Question

Matt makes $80 a month mowing lawns. His friend James also mows lawns, but he makes x dollars less per month than Matt does. James makes a total of $816 per year. How much less each month does James make than Matt? Solve the linear equation to find the value for x

. Remember that x represents how much less per month James makes than Matt

Equation: 12(80 – x) = 816

Answer:

x=$12

Explanation:

To solve the given equation

12(80 – x) = 816

First, we distribute:

960-12x=816

Collect like terms

12x=960-816

12x=144

Divide both sides by 12

x=12

Therefore, James makes $12 less than Matt every Month.