Question
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?
Answers
Bot
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.
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.