At first, Will, Usha and Wesley had some sweets in the ratio 7 : 5 : 6 respectively. Will had 420 sweets. Then he gave all his sweets to Usha and Wesley. After receiving the sweets from Will, Usha and Wesley had the same number of sweets. How many sweets did Usha receive from Will?
| |
Will |
Usha |
Wesley |
Total |
Before |
7x1 =
7 u |
5x1 =
5 u |
6x1 =
6 u |
18x1 =
18 u |
| Change |
- 7 u |
+ 7 u |
|
After |
0 |
1x9 =
9 u |
1x9 =
9 u |
2x9 =
18 u |
The total number of sweets remains unchanged. Make the total number of sweets the same. LCM of 2 and 18 is 18.
Total number of sweets = 18 u
Number of sweets that Usha had in the end
= 18 u ÷ 2
= 9 u
Number of sweets that Will had at first = 7 u
7 u = 420
1 u = 420 ÷ 7 = 60
Number of sweets that Usha received from Will
= 9 u - 5 u
= 4 u
= 4 x 60
= 240
Answer(s): 240
