Roshel and Gabby have some notebooks in the ratio 3 : 11. Roshel has 48 less notebooks than Gabby. How many notebooks must Gabby give to Roshel so that they will have the same number of notebooks?
| |
Roshel |
Gabby |
Total |
| Before |
3 u |
11 u |
14 u |
| Change |
+ 4 u |
- 4 u |
|
After |
1x7 =
7 u |
1x7 =
7 u |
2x7 =
14 u |
The total number of notebooks remains unchanged. Make the total number of notebooks at first and in the end the same. LCM of 2 and 14 is 14.
Difference in the number of notebooks at first
= 11 u - 3 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Number of notebooks that each of them had in the end
= 14 u ÷ 2
= 7 u
Number of notebooks that Gabby must give to Roshel
= 7 u - 3 u
= 4 u
= 4 x 6
= 24
Answer(s): 24
