At first, Ryan, Jane and Wesley had some lollipops in the ratio 6 : 4 : 5 respectively. Ryan had 192 lollipops. Then he gave all his lollipops to Jane and Wesley. After receiving the lollipops from Ryan, Jane and Wesley had the same number of lollipops. How many lollipops did Jane receive from Ryan?
|
Ryan |
Jane |
Wesley |
Total |
Before |
6x2 = 12 u |
4x2 = 8 u |
5x2 = 10 u |
15x2 = 30 u |
Change |
- 6 u |
+ 6 u |
|
After |
0 |
1x15 = 15 u |
1x15 = 15 u |
2x15 = 30 u |
The total number of lollipops remains unchanged. Make the total number of lollipops the same. LCM of 2 and 15 is 30.
Total number of lollipops = 30 u
Number of lollipops that Jane had in the end
= 30 u ÷ 2
= 15 u
Number of lollipops that Ryan had at first = 6 u
6 u = 192
1 u = 192 ÷ 6 = 32
Number of lollipops that Jane received from Ryan
= 15 u - 8 u
= 7 u
= 7 x 32
= 224
Answer(s): 224