Rachel had 90% as many candy canes as Opal. Rachel gave away 25% of her candy canes and Opal bought another 60 candy canes. As a result, Rachel now has 60% as many candy canes as Opal. Find the number of candy canes that Opal had at first.
| |
Rachel |
Opal |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 60 |
| After |
6.75x3 |
10x3 + 60 |
Comparing Rachel and
Opal in the end |
3x6.75 |
5x6.75 |
| |
Rachel |
Opal |
| Before |
27 u |
30 u |
| Change |
- 6.75 u |
+ 60 |
After
|
20.25 u
|
30 u + 60 =
33.75 u |
90% =
90100 =
91025% x 9
=
25100 x 9
= 2.25
60% =
60100 =
35The number of candy canes that Rachel had in the end is repeated.
Make the number of candy canes that Rachel had in the end the same.
The number of candy canes that Opal had in the end is repeated.
30 u + 60 = 33.75 u
33.75 u - 30 u = 60
3.75 u = 60
1 u = 60 ÷ 3.75 = 16
Number of candy canes that Opal had at first
= 30 u
= 30 x 16
= 480
Answer: 480
