After Karen spent
1
4
of her paycheck on a coat, she had $96 left. What was the cost of her coat?
Paycheck = $X.
Cost of coat = $X/4.
x - x/4 = 96.
4x - x = 384,
X = 128.
x/4 = 128/4 = $32.
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
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.
To find the cost of Karen's coat, we can start by setting up an equation. Let's assume that her paycheck is represented by the variable x.
According to the problem, Karen spent 1/4 of her paycheck on the coat, which means she has 3/4 of her paycheck left. We can represent this as an equation:
3/4 * x = $96
To isolate x, we can multiply both sides of the equation by the reciprocal of 3/4, which is 4/3:
x = $96 * (4/3)
Simplifying the right side of the equation:
x = $128
Therefore, the cost of Karen's coat was $128.