At first, Wesley had 21 sweets and Albert had 6 times as many sweets as Wesley. After they each received an equal number of sweets from their auntie, Albert had four times as many sweets as Wesley. How many sweets did their auntie give to both of them altogether?
| |
Wesley |
Albert |
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 sweets, the difference in the number of sweets remains unchanged. LCM of 5 and 3 is 15.
3 u = 21
1 u = 21 ÷ 3 = 7
Number of sweets that each received
= 5 u - 3 u
= 2 u
Number of sweets that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 7
= 28
Answer(s): 28
