After Karen spent

1
4
of her paycheck on a coat, she had $96 left. What was the cost of her coat?

3 answers

The cost of her coat was $24, 1/4 of 96 = 24, 96+24= 120. 120-24=96, 96-24=72, 72-24=48, 48-24=24, 24-24=0.
huh?
$96 is 3/4 of her money, right?
The coat cost 1/4 of her money, so its price was 1/3 of 96 = $2

or, since she started with $x,
3/4 x = 96
x = 128
The coat cost 128-96 = 32
since 32 is 1/4 of 128
Paycheck = $X.
Cost of coat = $X/4.

x - x/4 = 96.
4x - x = 384,
X = 128.
x/4 = 128/4 = $32.