Zane, Neave and Lee have some stamps. The ratios of their stamps are as follows:
Zane : (Zane + Neave + Lee) = 1 : 4
Neave : (Zane + Lee) = 1 : 5
Lee has 45 stamps more than Neave. In the end, Lee gives away all he has to Neave and Zane so that both Neave and Zane end up with the same number of stamps, how many stamps has Zane received from Lee?
Neave |
Lee |
Zane |
Total |
3x3 |
1x3 |
4x3 |
1x2 |
5x2 |
6x2 |
2 u |
7 u |
3 u |
12 u |
The total number of stamps is repeated. Make the total number of stamps the same. LCM of 4 and 6 is 12.
Number of stamps that Lee has more than Neave
= 7 u - 2 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
|
Neave |
Lee |
Zane |
Before |
2 u |
7 u |
3 u |
Change |
+ 4 u |
- 7 u |
+ 3 u |
After |
6 u |
0 u |
6 u |
Number of stamps that Zane has received from Lee
= 6 u - 3 u
= 3 u
= 3 x 9
= 27
Answer(s): 27