Harry, Albert and Cole have some pens. The ratios of their pens are as follows:
Harry : (Harry + Albert + Cole) = 3 : 7
Albert : (Harry + Cole) = 1 : 5
Cole has 20 pens more than Albert. In the end, Cole gives away all he has to Albert and Harry so that both Albert and Harry end up with the same number of pens, how many pens has Albert received from Cole?
Albert |
Cole |
Harry |
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 Cole has more than Albert
= 17 u - 7 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
|
Albert |
Cole |
Harry |
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 Albert has received from Cole
= 21 u - 7 u
= 14 u
= 14 x 2
= 28
Answer(s): 28