Jack, Japheth and Daniel have some pens. The ratios of their pens are as follows:
Jack : (Jack + Japheth + Daniel) = 3 : 7
Japheth : (Jack + Daniel) = 1 : 5
Daniel has 60 pens more than Japheth. In the end, Daniel gives away all he has to Japheth and Jack so that both Japheth and Jack end up with the same number of pens, how many pens has Japheth received from Daniel?
Japheth |
Daniel |
Jack |
Total |
4x6 |
3x6 |
7x6 |
1x7 |
5x7 |
6x7 |
7 u |
17 u |
18 u |
42 u |
The total number of pens is repeated. Make the total number of pens the same. LCM of 7 and 6 is 42.
Number of pens that Daniel has more than Japheth
= 17 u - 7 u
= 10 u
10 u = 60
1 u = 60 ÷ 10 = 6
|
Japheth |
Daniel |
Jack |
Before |
7 u |
17 u |
18 u |
Change |
+ 14 u |
- 17 u |
+ 3 u |
After |
21 u |
0 u |
21 u |
Number of pens that Japheth has received from Daniel
= 21 u - 7 u
= 14 u
= 14 x 6
= 84
Answer(s): 84