Joelle had 80% as many candy canes as Fiona. Joelle gave away 10% of her candy canes and Fiona bought another 15 candy canes. As a result, Joelle now has 60% as many candy canes as Fiona. Find the number of candy canes that Fiona had at first.
| |
Joelle |
Fiona |
| Before |
4x3 |
5x3 |
| Change |
- 0.4x3 |
+ 15 |
| After |
3.6x3 |
5x3 + 15 |
Comparing Joelle and
Fiona in the end |
3x3.6 |
5x3.6 |
| |
Joelle |
Fiona |
| Before |
12 u |
15 u |
| Change |
- 1.2 u |
+ 15 |
After
|
10.8 u
|
15 u + 15 =
18 u |
80% =
80100 =
4510% x 4
=
10100 x 4
= 0.4
60% =
60100 =
35The number of candy canes that Joelle had in the end is repeated.
Make the number of candy canes that Joelle had in the end the same.
The number of candy canes that Fiona had in the end is repeated.
15 u + 15 = 18 u
18 u - 15 u = 15
3 u = 15
1 u = 15 ÷ 3 = 5
Number of candy canes that Fiona had at first
= 15 u
= 15 x 5
= 75
Answer: 75
