At first, Valen had 21 chocolate bars and Owen had 6 times as many chocolate bars as Valen. After they each received an equal number of chocolate bars from their friend, Owen had four times as many chocolate bars as Valen. How many chocolate bars did their friend give to both of them altogether?
| |
Valen |
Owen |
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 = 21
1 u = 21 ÷ 3 = 7
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 7
= 28
Answer(s): 28
