At first, Cole had 15 chocolate bars and Zeph had 5 times as many chocolate bars as Cole. After they each received an equal number of chocolate bars from their uncle, Zeph had four times as many chocolate bars as Cole. How many chocolate bars did their uncle give to both of them altogether?
| |
Cole |
Zeph |
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 = 15
1 u = 15 ÷ 3 = 5
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 5
= 10
Answer(s): 10
