At first, Dylan, Winnie and Lee had some lollipops in the ratio 5 : 3 : 4 respectively. Dylan had 200 lollipops. Then he gave all his lollipops to Winnie and Lee. After receiving the lollipops from Dylan, Winnie and Lee had the same number of lollipops. How many lollipops did Winnie receive from Dylan?
|
Dylan |
Winnie |
Lee |
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 lollipops remains unchanged. Make the total number of lollipops the same. LCM of 2 and 12 is 12.
Total number of lollipops = 12 u
Number of lollipops that Winnie had in the end
= 12 u ÷ 2
= 6 u
Number of lollipops that Dylan had at first = 5 u
5 u = 200
1 u = 200 ÷ 5 = 40
Number of lollipops that Winnie received from Dylan
= 6 u - 3 u
= 3 u
= 3 x 40
= 120
Answer(s): 120