Betty had 80% as many jelly beans as Julie. Betty gave away 10% of her jelly beans and Julie bought another 45 jelly beans. As a result, Betty now has 60% as many jelly beans as Julie. Find the number of jelly beans that Betty had in the end.
| |
Betty |
Julie |
| Before |
4x3 |
5x3 |
| Change |
- 0.4x3 |
+ 45 |
| After |
3.6x3 |
5x3 + 45 |
Comparing Betty and
Julie in the end |
3x3.6 |
5x3.6 |
| |
Betty |
Julie |
| Before |
12 u |
15 u |
| Change |
- 1.2 u |
+ 45 |
After
|
10.8 u
|
15 u + 45 =
18 u |
80% =
80100 =
4510% x 4
=
10100 x 4
= 0.4
60% =
60100 =
35The number of jelly beans that Betty had in the end is repeated.
Make the number of jelly beans that Betty had in the end the same.
The number of jelly beans that Julie had in the end is repeated.
15 u + 45 = 18 u
18 u - 15 u = 45
3 u = 45
1 u = 45 ÷ 3 = 15
Number of jelly beans that Betty had in the end
= 10.8 u
= 10.8 x 15
= 162
Answer: 162
