Shannon had 70% as many jelly beans as Ivory. Shannon gave away 10% of her jelly beans and Ivory bought another 15 jelly beans. As a result, Shannon now has 60% as many jelly beans as Ivory. Find the number of jelly beans that Ivory had at first.
| |
Shannon |
Ivory |
| Before |
7x3 |
10x3 |
| Change |
- 0.7x3 |
+ 15 |
| After |
6.3x3 |
10x3 + 15 |
Comparing Shannon and
Ivory in the end |
3x6.3 |
5x6.3 |
| |
Shannon |
Ivory |
| Before |
21 u |
30 u |
| Change |
- 2.1 u |
+ 15 |
After
|
18.9 u
|
30 u + 15 =
31.5 u |
70% =
70100 =
71010% x 7
=
10100 x 7
= 0.7
60% =
60100 =
35The number of jelly beans that Shannon had in the end is repeated.
Make the number of jelly beans that Shannon had in the end the same.
The number of jelly beans that Ivory had in the end is repeated.
30 u + 15 = 31.5 u
31.5 u - 30 u = 15
1.5 u = 15
1 u = 15 ÷ 1.5 = 10
Number of jelly beans that Ivory had at first
= 30 u
= 30 x 10
= 300
Answer: 300
