kathleen spent 5/8 of her money and had 15e left how much had she at the start
(3/8)x = 15
x = 15/(3/8)
x = 15 * (8/3)
x = 120/3
x = 40
To calculate how much Kathleen had at the start, we need to follow these steps:
Step 1: Determine the amount she had left
Kathleen had 15e left after spending 5/8 of her money.
Step 2: Calculate the fraction of money she spent
Since she spent 5/8 of her money, this means that 5/8 is equal to the amount she had left divided by the total amount she had.
Step 3: Find the total amount she had
To find the total amount she had, we can set up a proportion using the fraction from Step 2. Let's say the total amount of money she had at the start is X. The proportion can be set up as follows:
5/8 = 15e / X
Step 4: Solve for X
To solve for X, we can cross-multiply the proportions:
5X = 8 * 15e
Step 5: Simplify the equation
On the right-hand side, 8 multiplied by 15 is 120, so the equation becomes:
5X = 120e
Step 6: Solve for X
To find X, we can divide both sides of the equation by 5:
X = 120e / 5
Therefore, Kathleen had 120e / 5 at the start.