Nicole had 90% as many chocolate bars as Hazel. Nicole gave away 10% of her chocolate bars and Hazel bought another 105 chocolate bars. As a result, Nicole now has 60% as many chocolate bars as Hazel. Find the number of chocolate bars that Hazel had at first.
| |
Nicole |
Hazel |
| Before |
9x3 |
10x3 |
| Change |
- 0.9x3 |
+ 105 |
| After |
8.1x3 |
10x3 + 105 |
Comparing Nicole and
Hazel in the end |
3x8.1 |
5x8.1 |
| |
Nicole |
Hazel |
| Before |
27 u |
30 u |
| Change |
- 2.7 u |
+ 105 |
After
|
24.3 u
|
30 u + 105 =
40.5 u |
90% =
90100 =
91010% x 9
=
10100 x 9
= 0.9
60% =
60100 =
35The number of chocolate bars that Nicole had in the end is repeated.
Make the number of chocolate bars that Nicole had in the end the same.
The number of chocolate bars that Hazel had in the end is repeated.
30 u + 105 = 40.5 u
40.5 u - 30 u = 105
10.5 u = 105
1 u = 105 ÷ 10.5 = 10
Number of chocolate bars that Hazel had at first
= 30 u
= 30 x 10
= 300
Answer: 300
