Esther had 90% as many chocolate bars as Shannon. Esther gave away 20% of her chocolate bars and Shannon bought another 60 chocolate bars. As a result, Esther now has 60% as many chocolate bars as Shannon. Find the number of chocolate bars that Shannon had at first.
| |
Esther |
Shannon |
| Before |
9x3 |
10x3 |
| Change |
- 1.8x3 |
+ 60 |
| After |
7.2x3 |
10x3 + 60 |
Comparing Esther and
Shannon in the end |
3x7.2 |
5x7.2 |
| |
Esther |
Shannon |
| Before |
27 u |
30 u |
| Change |
- 5.4 u |
+ 60 |
After
|
21.6 u
|
30 u + 60 =
36 u |
90% =
90100 =
91020% x 9
=
20100 x 9
= 1.8
60% =
60100 =
35The number of chocolate bars that Esther had in the end is repeated.
Make the number of chocolate bars that Esther had in the end the same.
The number of chocolate bars that Shannon had in the end is repeated.
30 u + 60 = 36 u
36 u - 30 u = 60
6 u = 60
1 u = 60 ÷ 6 = 10
Number of chocolate bars that Shannon had at first
= 30 u
= 30 x 10
= 300
Answer: 300
