Ryan, Archie and Daniel have some pens. The ratios of their pens are as follows:
Ryan : (Ryan + Archie + Daniel) = 1 : 4
Archie : (Ryan + Daniel) = 1 : 4
Daniel has 84 pens more than Archie. In the end, Daniel gives away all he has to Archie and Ryan so that both Archie and Ryan end up with the same number of pens, how many pens has Archie received from Daniel?
Archie |
Daniel |
Ryan |
Total |
3x5 |
1x5 |
4x5 |
1x4 |
4x4 |
5x4 |
4 u |
11 u |
5 u |
20 u |
The total number of pens is repeated. Make the total number of pens the same. LCM of 4 and 5 is 20.
Number of pens that Daniel has more than Archie
= 11 u - 4 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
|
Archie |
Daniel |
Ryan |
Before |
4 u |
11 u |
5 u |
Change |
+ 6 u |
- 11 u |
+ 5 u |
After |
10 u |
0 u |
10 u |
Number of pens that Archie has received from Daniel
= 10 u - 4 u
= 6 u
= 6 x 12
= 72
Answer(s): 72