At first, Flynn, Wendy and Tim had some sweets in the ratio 5 : 3 : 4 respectively. Flynn had 275 sweets. Then he gave all his sweets to Wendy and Tim. After receiving the sweets from Flynn, Wendy and Tim had the same number of sweets. How many sweets did Wendy receive from Flynn?
| |
Flynn |
Wendy |
Tim |
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 Wendy had in the end
= 12 u ÷ 2
= 6 u
Number of sweets that Flynn had at first = 5 u
5 u = 275
1 u = 275 ÷ 5 = 55
Number of sweets that Wendy received from Flynn
= 6 u - 3 u
= 3 u
= 3 x 55
= 165
Answer(s): 165
