At first, Julian had 12 lollipops and Ahmad had 6 times as many lollipops as Julian. After they each received an equal number of lollipops from their nephew, Ahmad had four times as many lollipops as Julian. How many lollipops did their nephew give to both of them altogether?
| |
Julian |
Ahmad |
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 = 12
1 u = 12 ÷ 3 = 4
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 4
= 16
Answer(s): 16
