Paul, Glen and Sam have some erasers. The ratios of their erasers are as follows:
Paul : (Paul + Glen + Sam) = 2 : 5
Glen : (Paul + Sam) = 1 : 3
Sam has 16 erasers more than Glen. In the end, Sam gives away all he has to Glen and Paul so that both Glen and Paul end up with the same number of erasers, how many erasers has Glen received from Sam?
Glen |
Sam |
Paul |
Total |
3x4 |
2x4 |
5x4 |
1x5 |
3x5 |
4x5 |
5 u |
7 u |
8 u |
20 u |
The total number of erasers is repeated. Make the total number of erasers the same. LCM of 5 and 4 is 20.
Number of erasers that Sam has more than Glen
= 7 u - 5 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
|
Glen |
Sam |
Paul |
Before |
5 u |
7 u |
8 u |
Change |
+ 5 u |
- 7 u |
+ 2 u |
After |
10 u |
0 u |
10 u |
Number of erasers that Glen has received from Sam
= 10 u - 5 u
= 5 u
= 5 x 8
= 40
Answer(s): 40