At first, Oscar, Tina and Rael had some sweets in the ratio 5 : 3 : 4 respectively. Oscar had 285 sweets. Then he gave all his sweets to Tina and Rael. After receiving the sweets from Oscar, Tina and Rael had the same number of sweets. How many sweets did Tina receive from Oscar?
| |
Oscar |
Tina |
Rael |
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 Oscar had at first = 5 u
5 u = 285
1 u = 285 ÷ 5 = 57
Number of sweets that Tina received from Oscar
= 6 u - 3 u
= 3 u
= 3 x 57
= 171
Answer(s): 171
