Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes?
Pick.
A) $125 B) $135 C) $145 D) $155 E) $165
Let P be Jack's original paycheck value. The value after taxes T is given by
T = P - 20%P
Let S be the amount put into savings, given by
S = T - 80%T
for S = $20, solve for P
$20 = (P - 20%P) - 80%(P - 20%P)
P = $125
Correct answer $125
<result>A</result>
Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes?