At first, Caden, Tina and Owen had some sweets in the ratio 5 : 3 : 4 respectively. Caden had 215 sweets. Then he gave all his sweets to Tina and Owen. After receiving the sweets from Caden, Tina and Owen had the same number of sweets. How many sweets did Tina receive from Caden?
| |
Caden |
Tina |
Owen |
Total |
Before |
5x1 =
5 u |
3x1 =
3 u |
4x1 =
4 u |
12x1 =
12 u |
| Change |
- 5 u |
+ 5 u |
|
After |
0 |
1x6 =
6 u |
1x6 =
6 u |
2x6 =
12 u |
The total number of sweets remains unchanged. Make the total number of sweets the same. LCM of 2 and 12 is 12.
Total number of sweets = 12 u
Number of sweets that Tina had in the end
= 12 u ÷ 2
= 6 u
Number of sweets that Caden had at first = 5 u
5 u = 215
1 u = 215 ÷ 5 = 43
Number of sweets that Tina received from Caden
= 6 u - 3 u
= 3 u
= 3 x 43
= 129
Answer(s): 129
