Tyler is taking piano lessons. Because he doesn't practice as often as his parents would like him to, he has to pay for part of the lessons himself. His parents pay him $0.75 to do the laundry and $1.25 to mow the lawn. In one month, he does the laundry 6 more times than he mows the lawn. If his parents pay him $16.50 that month, how many times did he mow the lawn?
A) 5 times
B) 6 times
C) 3 times
D) 9 times
E) 12 times

Question

Quizplus · Accepted Answer

Let's denote the number of times Tyler mows the lawn as "x". Then, the number of times he does the laundry is "x+6" (as he does laundry 6 more times than mowing the lawn).

The amount of money Tyler earns from doing laundry is:
$0.75(x+6) = $0.75x + $4.50

The amount of money Tyler earns from mowing the lawn is:
$1.25x

Together, these add up to the total amount Tyler earns in a month:
$0.75x + $4.50 + $1.25x = $16.50

Simplifying this equation, we get:
$2.00x + $4.50 = $16.50
$2.00x = $12.00
x = 6

Therefore, Tyler mows the lawn 6 times (as we initially denoted with "x"), which is answer choice B.

Tyler Is Taking Piano Lessons