At first, Asher had 22 lollipops and Fabian had 6 times as many lollipops as Asher. After they each received an equal number of lollipops from their mother, Fabian had thrice as many lollipops as Asher. How many lollipops did their mother give to both of them altogether?
| |
Asher |
Fabian |
Difference |
| Before |
1x2 =
2 u |
6x2 =
12 u |
5x2 =
10 u |
| Change |
+ 3 u |
+ 3 u |
|
| After |
1x5 =
5 u |
3x5 =
15 u |
2x5 =
10 u |
Since both received an equal number of lollipops, the difference in the number of lollipops remains unchanged. LCM of 5 and 2 is 10.
2 u = 22
1 u = 22 ÷ 2 = 11
Number of lollipops that each received
= 5 u - 2 u
= 3 u
Number of lollipops that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 11
= 66
Answer(s): 66
