Jade had 70% as many jelly beans as Victoria. Jade gave away 10% of her jelly beans and Victoria bought another 30 jelly beans. As a result, Jade now has 60% as many jelly beans as Victoria. Find the number of jelly beans that Jade had in the end.
| |
Jade |
Victoria |
| Before |
7x3 |
10x3 |
| Change |
- 0.7x3 |
+ 30 |
| After |
6.3x3 |
10x3 + 30 |
Comparing Jade and
Victoria in the end |
3x6.3 |
5x6.3 |
| |
Jade |
Victoria |
| Before |
21 u |
30 u |
| Change |
- 2.1 u |
+ 30 |
After
|
18.9 u
|
30 u + 30 =
31.5 u |
70% =
70100 =
71010% x 7
=
10100 x 7
= 0.7
60% =
60100 =
35The number of jelly beans that Jade had in the end is repeated.
Make the number of jelly beans that Jade had in the end the same.
The number of jelly beans that Victoria had in the end is repeated.
30 u + 30 = 31.5 u
31.5 u - 30 u = 30
1.5 u = 30
1 u = 30 ÷ 1.5 = 20
Number of jelly beans that Jade had in the end
= 18.9 u
= 18.9 x 20
= 378
Answer: 378
