Sonya spent 3/8 of her money and then $15 left. How money did Sonya originally have?
8/8 - 3/8 = 5/8
(5/8)x = 15
x = 15 / (5/8)
x = 15 * (8/5)
x = 120/5
x = 24
To find out how much money Sonya originally had, we can set up an equation based on the given information.
Let's assume that Sonya originally had x dollars.
According to the given information, Sonya spent 3/8 of her money. So, the amount of money she spent can be calculated as (3/8) * x.
After spending 3/8 of her money, Sonya had $15 left. Therefore, we can write the equation:
x - (3/8) * x = $15
Next, we can solve this equation to find the value of x.
To do that, we first simplify the equation by finding the common denominator, which is 8:
8x/8 - 3x/8 = $15
Now let's combine like terms:
(8x - 3x) / 8 = $15
Simplifying further:
5x / 8 = $15
To get rid of the fraction, we can multiply both sides of the equation by 8:
(5x / 8) * 8 = $15 * 8
This gives us:
5x = $120
Finally, we can solve for x by dividing both sides of the equation by 5:
5x / 5 = $120 / 5
This gives us:
x = $24
Therefore, Sonya originally had $24.