At first, Wesley had 27 chocolate bars and Flynn had 6 times as many chocolate bars as Wesley. After they each received an equal number of chocolate bars from their nephew, Flynn had four times as many chocolate bars as Wesley. How many chocolate bars did their nephew give to both of them altogether?
| |
Wesley |
Flynn |
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 chocolate bars, the difference in the number of chocolate bars remains unchanged. LCM of 5 and 3 is 15.
3 u = 27
1 u = 27 ÷ 3 = 9
Number of chocolate bars that each received
= 5 u - 3 u
= 2 u
Number of chocolate bars that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 9
= 36
Answer(s): 36
