At first, Jack had 28 chocolate bars and Japheth had 6 times as many chocolate bars as Jack. After they each received an equal number of chocolate bars from their nephew, Japheth had thrice as many chocolate bars as Jack. How many chocolate bars did their nephew give to both of them altogether?
| |
Jack |
Japheth |
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 chocolate bars, the difference in the number of chocolate bars remains unchanged. LCM of 5 and 2 is 10.
2 u = 28
1 u = 28 ÷ 2 = 14
Number of chocolate bars that each received
= 5 u - 2 u
= 3 u
Number of chocolate bars that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 14
= 84
Answer(s): 84
