Question

Bill had saved $825 from his last 8 paychecks. He saved either 75$ or 150$ a paycheck.for the 8 paychecks,how many times did bill save $75 from his paycheck

Answer 1

Let us assume the number of times Bill saved $75 from his paycheck = x

Let us assume he number of times Bill saved $150 from his paycheck = y

Since he saved 75$ or 150$ for the 8 paychecks.

So, x+y=8

y=8-x (Equation 1)

Since Bill saved $825 from his last 8 paychecks using $75 or $150.

So, 75x+150y=825 (Equation 2)

Substituting the value of 'y' from equation 1 in equation 2,

$75x+150(8-x)=825$

$75x+1200-150x=825$

$75x-150x=825-1200$

$-75x=-375$

x = 5

Therefore, Bill saved $75, 5 times from his paycheck.