Luis, Liam and Japheth have some pens. The ratios of their pens are as follows:
Luis : (Luis + Liam + Japheth) = 1 : 5
Liam : (Luis + Japheth) = 1 : 5
Japheth has 98 pens more than Liam. In the end, Japheth gives away all he has to Liam and Luis so that both Liam and Luis end up with the same number of pens, how many pens has Luis received from Japheth?
Liam |
Japheth |
Luis |
Total |
4x6 |
1x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
19 u |
6 u |
30 u |
The total number of pens is repeated. Make the total number of pens the same. LCM of 5 and 6 is 30.
Number of pens that Japheth has more than Liam
= 19 u - 5 u
= 14 u
14 u = 98
1 u = 98 ÷ 14 = 7
|
Liam |
Japheth |
Luis |
Before |
5 u |
19 u |
6 u |
Change |
+ 10 u |
- 19 u |
+ 9 u |
After |
15 u |
0 u |
15 u |
Number of pens that Luis has received from Japheth
= 15 u - 6 u
= 9 u
= 9 x 7
= 63
Answer(s): 63