At first, Warren, Tammy and Perry had some lollipops in the ratio 5 : 3 : 4 respectively. Warren had 295 lollipops. Then he gave all his lollipops to Tammy and Perry. After receiving the lollipops from Warren, Tammy and Perry had the same number of lollipops. How many lollipops did Tammy receive from Warren?
|
Warren |
Tammy |
Perry |
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 Tammy had in the end
= 12 u ÷ 2
= 6 u
Number of lollipops that Warren had at first = 5 u
5 u = 295
1 u = 295 ÷ 5 = 59
Number of lollipops that Tammy received from Warren
= 6 u - 3 u
= 3 u
= 3 x 59
= 177
Answer(s): 177