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7.5x+20y=900 models how many hours worked(x) and how many lawns mowed (y) Jon has to work to save $900. give 3 combinations of hours worked and lawns mowed that result in $900

1 Answer

3 votes

Answer:

1. (8,42)

2. (24,36)

3. (40,30)

Explanation:

In order to solve this problem we will assume some values of x which will give us integer values of y.

Substituting x=8 in our equation we will get,


7.5*8+20y=900


60+20y=900


20y=900-60


y=(840)/(20) =42

Substituting x=24 in our equation we get,


7.5*24+20y=900


180+20y=900


20y=900-180


y=(720)/(20)=36

Substituting x = 40 in the equation we get,


7.5*40+20y=900


300+20y=900


20y=900-300


y=(600)/(20) =30

Therefore, our three combinations will be (8,42), (24,36) and (40,30).

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