Question

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

Answer 1

Answer:

1. (8,42)

2. (24,36)

3. (40,30)

Step-by-step 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,

$7.5*8+20y=900$

$60+20y=900$

$20y=900-60$

$y=\frac{840}{20} =42$

Substituting x=24 in our equation we get,

$7.5*24+20y=900$

$180+20y=900$

$20y=900-180$

$y=\frac{720}{20}=36$

Substituting x = 40 in the equation we get,

$7.5*40+20y=900$

$300+20y=900$

$20y=900-300$

$y=\frac{600}{20} =30$

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