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 $816 per year. How much less each month does James make than Matt?Which expression represents the amount of money James makes each month? Which equation represents the scenario?

Answer 1

James makes 12 dollars less per month than Matt

James = 80-x per month

Explanation:

Matt = 80 per month

James = 80-x per month

To determine what James makes per year, multiply by 12 months

Earnings of James per year = 12(80-x)

= 960 -12x

James makes 816 per year

816 = 980-12x

Subtract 980 from each side

816-980 = 980-980-12x

-144= -12x

Divide by -12

-144/-12 = -12x/-12

12=x

James makes = 80-x per month

= 80-12

= 68 per month

Answer 2

James makes $12 less each month than Matt.

80 - x

12(80 - x) = 816

Explanation:

Matt makes $80 per month.

Jame makes x dollars less than Matt per month,

so James makes $80 - x per month.

In one year, Matt makes 12 * $80.

In one year, James makes 12 * (80 - x), and he makes $816,

so 12(80 - x) mus equal 816.

12(80 - x) = 816

960 - 12x = 816

-12x = - 144

x = 12

James makes $12 less each month than Matt.