Fanny had 70% as many jelly beans as Penelope. Fanny gave away 10% of her jelly beans and Penelope bought another 15 jelly beans. As a result, Fanny now has 60% as many jelly beans as Penelope. Find the number of jelly beans that Fanny had in the end.
| |
Fanny |
Penelope |
| Before |
7x3 |
10x3 |
| Change |
- 0.7x3 |
+ 15 |
| After |
6.3x3 |
10x3 + 15 |
Comparing Fanny and
Penelope in the end |
3x6.3 |
5x6.3 |
| |
Fanny |
Penelope |
| 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 Fanny had in the end is repeated.
Make the number of jelly beans that Fanny had in the end the same.
The number of jelly beans that Penelope 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 Fanny had in the end
= 18.9 u
= 18.9 x 10
= 189
Answer: 189
