At first, Glen had 14 lollipops and David had 6 times as many lollipops as Glen. After they each received an equal number of lollipops from their uncle, David had thrice as many lollipops as Glen. How many lollipops did their uncle give to both of them altogether?
| |
Glen |
David |
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 = 14
1 u = 14 ÷ 2 = 7
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 7
= 42
Answer(s): 42
