At first, George had 15 lollipops and Zeph had 6 times as many lollipops as George. After they each received an equal number of lollipops from their best friend, Zeph had four times as many lollipops as George. How many lollipops did their best friend give to both of them altogether?
| |
George |
Zeph |
Difference |
| Before |
1x3 =
3 u |
6x3 =
18 u |
5x3 =
15 u |
| Change |
+ 2 u |
+ 2 u |
|
| After |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
Since both received an equal number of lollipops, the difference in the number of lollipops remains unchanged. LCM of 5 and 3 is 15.
3 u = 15
1 u = 15 ÷ 3 = 5
Number of lollipops that each received
= 5 u - 3 u
= 2 u
Number of lollipops that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 5
= 20
Answer(s): 20
