Emily had 90% as many candy canes as Esther. Emily gave away 20% of her candy canes and Esther bought another 120 candy canes. As a result, Emily now has 60% as many candy canes as Esther. Find the number of candy canes that Emily had in the end.
| |
Emily |
Esther |
| Before |
9x3 |
10x3 |
| Change |
- 1.8x3 |
+ 120 |
| After |
7.2x3 |
10x3 + 120 |
Comparing Emily and
Esther in the end |
3x7.2 |
5x7.2 |
| |
Emily |
Esther |
| Before |
27 u |
30 u |
| Change |
- 5.4 u |
+ 120 |
After
|
21.6 u
|
30 u + 120 =
36 u |
90% =
90100 =
91020% x 9
=
20100 x 9
= 1.8
60% =
60100 =
35The number of candy canes that Emily had in the end is repeated.
Make the number of candy canes that Emily had in the end the same.
The number of candy canes that Esther had in the end is repeated.
30 u + 120 = 36 u
36 u - 30 u = 120
6 u = 120
1 u = 120 ÷ 6 = 20
Number of candy canes that Emily had in the end
= 21.6 u
= 21.6 x 20
= 432
Answer: 432
