Warren, Zeph and Albert have some pens. The ratios of their pens are as follows:
Warren : (Warren + Zeph + Albert) = 1 : 3
Zeph : (Warren + Albert) = 1 : 3
Albert has 20 pens more than Zeph. In the end, Albert gives away all he has to Zeph and Warren so that both Zeph and Warren end up with the same number of pens, how many pens has Zeph received from Albert?
Zeph |
Albert |
Warren |
Total |
2x4 |
1x4 |
3x4 |
1x3 |
3x3 |
4x3 |
3 u |
5 u |
4 u |
12 u |
The total number of pens is repeated. Make the total number of pens the same. LCM of 3 and 4 is 12.
Number of pens that Albert has more than Zeph
= 5 u - 3 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
|
Zeph |
Albert |
Warren |
Before |
3 u |
5 u |
4 u |
Change |
+ 3 u |
- 5 u |
+ 2 u |
After |
6 u |
0 u |
6 u |
Number of pens that Zeph has received from Albert
= 6 u - 3 u
= 3 u
= 3 x 10
= 30
Answer(s): 30