Xuan had 90% as many jelly beans as Xylia. Xuan gave away 25% of her jelly beans and Xylia bought another 60 jelly beans. As a result, Xuan now has 60% as many jelly beans as Xylia. Find the number of jelly beans that Xuan had in the end.
| |
Xuan |
Xylia |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 60 |
| After |
6.75x3 |
10x3 + 60 |
Comparing Xuan and
Xylia in the end |
3x6.75 |
5x6.75 |
| |
Xuan |
Xylia |
| Before |
27 u |
30 u |
| Change |
- 6.75 u |
+ 60 |
After
|
20.25 u
|
30 u + 60 =
33.75 u |
90% =
90100 =
91025% x 9
=
25100 x 9
= 2.25
60% =
60100 =
35The number of jelly beans that Xuan had in the end is repeated.
Make the number of jelly beans that Xuan had in the end the same.
The number of jelly beans that Xylia had in the end is repeated.
30 u + 60 = 33.75 u
33.75 u - 30 u = 60
3.75 u = 60
1 u = 60 ÷ 3.75 = 16
Number of jelly beans that Xuan had in the end
= 20.25 u
= 20.25 x 16
= 324
Answer: 324
