Barbara had 90% as many jelly beans as Raeann. Barbara gave away 20% of her jelly beans and Raeann bought another 30 jelly beans. As a result, Barbara now has 60% as many jelly beans as Raeann. Find the number of jelly beans that Raeann had at first.
| |
Barbara |
Raeann |
| Before |
9x3 |
10x3 |
| Change |
- 1.8x3 |
+ 30 |
| After |
7.2x3 |
10x3 + 30 |
Comparing Barbara and
Raeann in the end |
3x7.2 |
5x7.2 |
| |
Barbara |
Raeann |
| Before |
27 u |
30 u |
| Change |
- 5.4 u |
+ 30 |
After
|
21.6 u
|
30 u + 30 =
36 u |
90% =
90100 =
91020% x 9
=
20100 x 9
= 1.8
60% =
60100 =
35The number of jelly beans that Barbara had in the end is repeated.
Make the number of jelly beans that Barbara had in the end the same.
The number of jelly beans that Raeann had in the end is repeated.
30 u + 30 = 36 u
36 u - 30 u = 30
6 u = 30
1 u = 30 ÷ 6 = 5
Number of jelly beans that Raeann had at first
= 30 u
= 30 x 5
= 150
Answer: 150
