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? Equation: 12(80 – x) = 816

Solve the linear equation to find the value for x.

x =
How much does James earn each month?

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

The data is:

Matt makes $80 per moth.

James makes ($80 - x) per month.

James makes $816 per year.

Now, a year has 12 months, then we have that:

($80 - x)*12 = $816

With this equation we can find the value of x.

so we must isolate x in one side:

($80 - x)*12 = $816

$80*12 - x*12 = $816

$960 - x*12 = $816

x*12 = $960 - $816 = $144

x = $144/12 = $12

Then james makes $12 less than Matt each month, this means that James makes:

J = ($80 -  $12) = $68 per month.

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