Barbara had 90% as many candy canes as Shiyun. Barbara gave away 10% of her candy canes and Shiyun bought another 105 candy canes. As a result, Barbara now has 60% as many candy canes as Shiyun. Find the number of candy canes that Barbara had in the end.
| |
Barbara |
Shiyun |
| Before |
9x3 |
10x3 |
| Change |
- 0.9x3 |
+ 105 |
| After |
8.1x3 |
10x3 + 105 |
Comparing Barbara and
Shiyun in the end |
3x8.1 |
5x8.1 |
| |
Barbara |
Shiyun |
| 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 candy canes that Barbara had in the end is repeated.
Make the number of candy canes that Barbara had in the end the same.
The number of candy canes that Shiyun 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 candy canes that Barbara had in the end
= 24.3 u
= 24.3 x 10
= 243
Answer: 243
