Abi had 70% as many candy canes as Rachel. Abi gave away 10% of her candy canes and Rachel bought another 15 candy canes. As a result, Abi now has 60% as many candy canes as Rachel. Find the number of candy canes that Rachel had at first.
| |
Abi |
Rachel |
| Before |
7x3 |
10x3 |
| Change |
- 0.7x3 |
+ 15 |
| After |
6.3x3 |
10x3 + 15 |
Comparing Abi and
Rachel in the end |
3x6.3 |
5x6.3 |
| |
Abi |
Rachel |
| Before |
21 u |
30 u |
| Change |
- 2.1 u |
+ 15 |
After
|
18.9 u
|
30 u + 15 =
31.5 u |
70% =
70100 =
71010% x 7
=
10100 x 7
= 0.7
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 Rachel had in the end is repeated.
30 u + 15 = 31.5 u
31.5 u - 30 u = 15
1.5 u = 15
1 u = 15 ÷ 1.5 = 10
Number of candy canes that Rachel had at first
= 30 u
= 30 x 10
= 300
Answer: 300
