Owen, Oliver and Valen have some coins. The ratios of their coins are as follows:
Owen : (Owen + Oliver + Valen) = 1 : 3
Oliver : (Owen + Valen) = 1 : 3
Valen has 14 coins more than Oliver. In the end, Valen gives away all he has to Oliver and Owen so that both Oliver and Owen end up with the same number of coins, how many coins has Oliver received from Valen?
Oliver |
Valen |
Owen |
Total |
2x4 |
1x4 |
3x4 |
1x3 |
3x3 |
4x3 |
3 u |
5 u |
4 u |
12 u |
The total number of coins is repeated. Make the total number of coins the same. LCM of 3 and 4 is 12.
Number of coins that Valen has more than Oliver
= 5 u - 3 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
|
Oliver |
Valen |
Owen |
Before |
3 u |
5 u |
4 u |
Change |
+ 3 u |
- 5 u |
+ 2 u |
After |
6 u |
0 u |
6 u |
Number of coins that Oliver has received from Valen
= 6 u - 3 u
= 3 u
= 3 x 7
= 21
Answer(s): 21