Question

Jeremy mows lawns during the summer in his neighborhood. Jeremy has made $800 mowing 35 lawns. He charged either $20 or $25 a lawn. Formulate and solve a system of equations to determine how many times Jeremy charged $20

Answer 1

Answer: Jeremy charged $20 15 times

Step-by-step explanation:

Let x represent the number of times Jeremy charged $20.

Let y represent the number of times Jeremy charged $25.

The total number of lawns that he mowed is 35. It means that

x + y = 35

He charged either $20 or $25 a lawn. The total amount that he made from mowing the lawns is $800. It means that

20x + 25y = 800- - - - - - - - -1

Substituting x = 35 - y into equation 1, it becomes

20(35 - y) + 25y = 800

700 - 20y + 25y = 800

- 20y + 25y = 800 - 700

5y = 100

y = 100/5

y = 20

x = 35 - y = 35 - 20

x = 15