At first, Vincent had 18 sweets and Tommy had 6 times as many sweets as Vincent. After they each received an equal number of sweets from their mother, Tommy had thrice as many sweets as Vincent. How many sweets did their mother give to both of them altogether?
| |
Vincent |
Tommy |
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 sweets, the difference in the number of sweets remains unchanged. LCM of 5 and 2 is 10.
2 u = 18
1 u = 18 ÷ 2 = 9
Number of sweets that each received
= 5 u - 2 u
= 3 u
Number of sweets that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 9
= 54
Answer(s): 54
