Nicole had 90% as many jelly beans as Jen. Nicole gave away 10% of her jelly beans and Jen bought another 220 jelly beans. As a result, Nicole now has 70% as many jelly beans as Jen. Find the number of jelly beans that Jen had at first.
| |
Nicole |
Jen |
| Before |
9x7 |
10x7 |
| Change |
- 0.9x7 |
+ 220 |
| After |
8.1x7 |
10x7 + 220 |
Comparing Nicole and
Jen in the end |
7x8.1 |
10x8.1 |
| |
Nicole |
Jen |
| Before |
63 u |
70 u |
| Change |
- 6.3 u |
+ 220 |
After
|
56.7 u
|
70 u + 220 =
81 u |
90% =
90100 =
91010% x 9
=
10100 x 9
= 0.9
70% =
70100 =
710The number of jelly beans that Nicole had in the end is repeated.
Make the number of jelly beans that Nicole had in the end the same.
The number of jelly beans that Jen had in the end is repeated.
70 u + 220 = 81 u
81 u - 70 u = 220
11 u = 220
1 u = 220 ÷ 11 = 20
Number of jelly beans that Jen had at first
= 70 u
= 70 x 20
= 1400
Answer: 1400
