Hazel had 90% as many jelly beans as Barbara. Hazel gave away 20% of her jelly beans and Barbara bought another 20 jelly beans. As a result, Hazel now has 70% as many jelly beans as Barbara. Find the number of jelly beans that Hazel had in the end.
| |
Hazel |
Barbara |
| Before |
9x7 |
10x7 |
| Change |
- 1.8x7 |
+ 20 |
| After |
7.2x7 |
10x7 + 20 |
Comparing Hazel and
Barbara in the end |
7x7.2 |
10x7.2 |
| |
Hazel |
Barbara |
| Before |
63 u |
70 u |
| Change |
- 12.6 u |
+ 20 |
After
|
50.4 u
|
70 u + 20 =
72 u |
90% =
90100 =
91020% x 9
=
20100 x 9
= 1.8
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 Barbara had in the end is repeated.
70 u + 20 = 72 u
72 u - 70 u = 20
2 u = 20
1 u = 20 ÷ 2 = 10
Number of jelly beans that Hazel had in the end
= 50.4 u
= 50.4 x 10
= 504
Answer: 504
