Nora had 90% as many candy canes as Rachel. Nora gave away 25% of her candy canes and Rachel bought another 75 candy canes. As a result, Nora now has 60% as many candy canes as Rachel. Find the number of candy canes that Rachel had at first.
| |
Nora |
Rachel |
| Before |
9x3 |
10x3 |
| Change |
- 2.25x3 |
+ 75 |
| After |
6.75x3 |
10x3 + 75 |
Comparing Nora and
Rachel in the end |
3x6.75 |
5x6.75 |
| |
Nora |
Rachel |
| Before |
27 u |
30 u |
| Change |
- 6.75 u |
+ 75 |
After
|
20.25 u
|
30 u + 75 =
33.75 u |
90% =
90100 =
91025% x 9
=
25100 x 9
= 2.25
60% =
60100 =
35The number of candy canes that Nora had in the end is repeated.
Make the number of candy canes that Nora had in the end the same.
The number of candy canes that Rachel had in the end is repeated.
30 u + 75 = 33.75 u
33.75 u - 30 u = 75
3.75 u = 75
1 u = 75 ÷ 3.75 = 20
Number of candy canes that Rachel had at first
= 30 u
= 30 x 20
= 600
Answer: 600
