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