Jasmine folded some paper stars. She donated 3/5 of them and sold 1/4 of the remainder. The number of stars she donated was 100 more than the number of stars she sold. How many stars did she sell?

Answer 1

Let's start by setting up some equations based on the information given in the problem:

Let's say that Jasmine folded x paper stars in total.
She donated 3/5 of them, so she donated 3/5x stars.
She sold 1/4 of the remainder, which means she sold 1/4*(2/5x) stars, since she donated 3/5x stars.
The number of stars she donated was 100 more than the number of stars she sold, so:

3/5x = 1/4*(2/5x) + 100

To solve for x, we can start by getting rid of the fractions:

12/20x = 2/20x + 100

Next, we can simplify:

10/20x = 100

x = 200

So Jasmine folded 200 stars in total.

Now we can use this information to find out how many stars she sold:

She donated 3/5x stars, which is:

3/5*200 = 120 stars

So she had 200 - 120 = 80 stars left to sell.

She sold 1/4 of the remainder, which is:

1/4*80 = 20 stars

Therefore, Jasmine sold 20 stars.