At first, Ryan had 18 chocolate bars and Luke had 5 times as many chocolate bars as Ryan. After they each received an equal number of chocolate bars from their uncle, Luke had four times as many chocolate bars as Ryan. How many chocolate bars did their uncle give to both of them altogether?
| |
Ryan |
Luke |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 1 u |
+ 1 u |
|
| After |
1x4 =
4 u |
4x4 =
16 u |
3x4 =
12 u |
Since both received an equal number of chocolate bars, the difference in the number of chocolate bars remains unchanged. LCM of 4 and 3 is 12.
3 u = 18
1 u = 18 ÷ 3 = 6
Number of chocolate bars that each received
= 4 u - 3 u
= 1 u
Number of chocolate bars that both of them received altogether
= 2 x 1 u
= 2 u
= 2 x 6
= 12
Answer(s): 12
