Gillian had 90% as many jelly beans as Pamela. Gillian gave away 25% of her jelly beans and Pamela bought another 60 jelly beans. As a result, Gillian now has 60% as many jelly beans as Pamela. Find the number of jelly beans that Pamela had at first.
| |
Gillian |
Pamela |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 60 |
| After |
6.75x3 |
10x3 + 60 |
Comparing Gillian and
Pamela in the end |
3x6.75 |
5x6.75 |
| |
Gillian |
Pamela |
| 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 Gillian had in the end is repeated.
Make the number of jelly beans that Gillian had in the end the same.
The number of jelly beans that Pamela 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 Pamela had at first
= 30 u
= 30 x 16
= 480
Answer: 480
