Cole, Glen and Jeremy have some erasers. The ratios of their erasers are as follows:
Cole : (Cole + Glen + Jeremy) = 2 : 5
Glen : (Cole + Jeremy) = 1 : 5
Jeremy has 32 erasers more than Glen. In the end, Jeremy gives away all he has to Glen and Cole so that both Glen and Cole end up with the same number of erasers, how many erasers has Cole received from Jeremy?
Glen |
Jeremy |
Cole |
Total |
3x6 |
2x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
13 u |
12 u |
30 u |
The total number of erasers is repeated. Make the total number of erasers the same. LCM of 5 and 6 is 30.
Number of erasers that Jeremy has more than Glen
= 13 u - 5 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
|
Glen |
Jeremy |
Cole |
Before |
5 u |
13 u |
12 u |
Change |
+ 10 u |
- 13 u |
+ 3 u |
After |
15 u |
0 u |
15 u |
Number of erasers that Cole has received from Jeremy
= 15 u - 12 u
= 3 u
= 3 x 4
= 12
Answer(s): 12