adeline spent 5/8 her money on books and 1/2 of the remainder on food. what percentage of her money had she ledt?

5/8 + (1/2)(3/8) = 13/16

so, she had 3/16 = 18.75% left

To find the percentage of money Adeline had left, we need to subtract the amounts she spent on books and food from her total money. Let's break down the problem step by step:

1. Let's assume Adeline had 100% of her money initially. This 100% will represent the total amount of money she had.

2. Adeline spent 5/8 of her money on books. To calculate this amount, we need to multiply her total money by 5/8:
Total money spent on books = (5/8) * (100% of her money) = (5/8) * 100%

3. Next, we find the remainder after buying books. This will be the amount of money she had left:
Amount remaining after buying books = (100% of her money) - (amount spent on books) = 100% - ((5/8) * 100%)

4. Now, Adeline spent 1/2 of the remainder on food. To calculate this amount, we multiply the remainder by 1/2:
Total money spent on food = (1/2) * (amount remaining after buying books) = (1/2) * (100% - ((5/8) * 100%))

5. Lastly, to find the percentage of money Adeline has left, we subtract the amount spent on food from the initial 100%:
Percentage of money Adeline has left = 100% - (total money spent on food)

By following these steps, you can calculate the exact percentage of money Adeline has left based on the given information.