Neave had 80% fewer candy canes than Gabriel. After Gabriel gave 225 candy canes to Neave, Neave had
45 as many candy canes as Gabriel. How many candy canes did each of them have in the end?
- Gabriel
- Neave
|
Neave |
Gabriel |
Total |
Before |
1x9 = 9 u |
5x9 = 45 u |
6x9 = 54 u |
Change |
+ 225 |
- 225 |
|
After |
4x6 = 24 u |
5x6 = 30 u |
9x6 = 54 u |
Number of candy canes that Neave had at first in percentage
= 100% - 80%
= 20%
20% =
20100 =
15 The total number of candy canes at first and in the end remains unchanged. Make the total number of candy canes the same. LCM of 9 and 6 is 54.
Number of candy canes that Gabriel gave to Neave
= 45 u - 30 u
= 15 u
15 u = 225
1 u = 225 ÷ 15 = 15
Number of candy canes that Neave had in the end
= 24 u
= 24 x 15
= 360
Number of candy canes that Gabriel had in the end
= 30 u
= 30 x 15
= 450
Answer(s): (a) 360; (b) 450