Reggie, Zane and Warren have some coins. The ratios of their coins are as follows:
Reggie : (Reggie + Zane + Warren) = 1 : 4
Zane : (Reggie + Warren) = 1 : 5
Warren has 35 coins more than Zane. In the end, Warren gives away all he has to Zane and Reggie so that both Zane and Reggie end up with the same number of coins, how many coins has Reggie received from Warren?
Zane |
Warren |
Reggie |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of coins is repeated. Make the total number of coins the same. LCM of 4 and 6 is 12.
Number of coins that Warren has more than Zane
= 7 u - 2 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
|
Zane |
Warren |
Reggie |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of coins that Reggie has received from Warren
= 6 u - 3 u
= 3 u
= 3 x 7
= 21
Answer(s): 21