Hazel had 90% as many jelly beans as Penelope. Hazel gave away 10% of her jelly beans and Penelope bought another 110 jelly beans. As a result, Hazel now has 70% as many jelly beans as Penelope. Find the number of jelly beans that Penelope had at first.
| |
Hazel |
Penelope |
| Before |
9x7 |
10x7 |
| Change |
- 0.9x7 |
+ 110 |
| After |
8.1x7 |
10x7 + 110 |
Comparing Hazel and
Penelope in the end |
7x8.1 |
10x8.1 |
| |
Hazel |
Penelope |
| Before |
63 u |
70 u |
| Change |
- 6.3 u |
+ 110 |
After
|
56.7 u
|
70 u + 110 =
81 u |
90% =
90100 =
91010% x 9
=
10100 x 9
= 0.9
70% =
70100 =
710The number of jelly beans that Hazel had in the end is repeated.
Make the number of jelly beans that Hazel had in the end the same.
The number of jelly beans that Penelope had in the end is repeated.
70 u + 110 = 81 u
81 u - 70 u = 110
11 u = 110
1 u = 110 ÷ 11 = 10
Number of jelly beans that Penelope had at first
= 70 u
= 70 x 10
= 700
Answer: 700
