Question

His parents pay Tyler $ 0.75 to do the laundry and $ 1.75 to mow the lawn. In one month, he does the laundry 6 more times than he mows the lawn. If his parents pay him $ 14.50 that month, how many times did he mow the lawn?

Answer 1

Answer: Tyler mowed the lawn 4 times

Step-by-step explanation:

Let x = number of times that he does laundry

Let y = number of times that he mows the lawn

In one month, he does the laundry 6 more times than he mows the lawn. This means

x = 6 +y

Tyler's parents pay him $ 0.75 to do the laundry and $ 1.75 to mow the lawn. If his parents pay him $ 14.50 that month, it means that

0.75x + 1.75y = 14.5 - - - - - - -1

Substituting x = 6+y into equation 1, it becomes

0.75(6 + y) + 1.75y = 14.5

4.5 + 0.75y + 1.75y = 14.5

0.75y + 1.75y = 14.5 - 4.5

2.5y = 10

y = 10/2.5 = 4

x = 6 + y = 6 + 4

x = 10