sonya spent 2/5 of her money and then had $18 left. how much money did she originally have?
3/5x = 18
x = 18/(3/5)
x = 18 ( 5/3)
x = 90/3
x = 30
30
To solve this problem, we need to set up an equation. Let's assume that Sonya originally had "x" dollars.
According to the problem, Sonya spent 2/5 of her money, which means she had (1 - 2/5) = 3/5 of her money left.
We're also given that she had $18 left, so we can create the equation:
(3/5) * x = $18
To solve for x, we'll multiply both sides of the equation by 5/3 to isolate x:
(5/3) * (3/5) * x = $18 * (5/3)
The 3/5 and 5/3 will cancel each other out:
x = $18 * (5/3)
Calculating this, we find:
x = $30
Therefore, Sonya originally had $30.