Elyse had 90% as many jelly beans as Joelle. Elyse gave away 25% of her jelly beans and Joelle bought another 30 jelly beans. As a result, Elyse now has 60% as many jelly beans as Joelle. Find the number of jelly beans that Joelle had at first.
| |
Elyse |
Joelle |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 30 |
| After |
6.75x3 |
10x3 + 30 |
Comparing Elyse and
Joelle in the end |
3x6.75 |
5x6.75 |
| |
Elyse |
Joelle |
| Before |
27 u |
30 u |
| Change |
- 6.75 u |
+ 30 |
After
|
20.25 u
|
30 u + 30 =
33.75 u |
90% =
90100 =
91025% x 9
=
25100 x 9
= 2.25
60% =
60100 =
35The number of jelly beans that Elyse had in the end is repeated.
Make the number of jelly beans that Elyse had in the end the same.
The number of jelly beans that Joelle had in the end is repeated.
30 u + 30 = 33.75 u
33.75 u - 30 u = 30
3.75 u = 30
1 u = 30 ÷ 3.75 = 8
Number of jelly beans that Joelle had at first
= 30 u
= 30 x 8
= 240
Answer: 240
