In March, Wendy and Warren had stamps in the ratio 13 : 7. In April, each of them gave away the same number of stamps. Wendy then had five times as many stamps as Warren.
- Find the ratio of the number of stamps Warren had in March to the number of stamps he had in April.
- Find the ratio of the total number of stamps both had in March to the total number of stamps both had in April.
|
Wendy |
Warren |
Difference |
Before |
13x2 = 26 u |
7x2 = 14 u |
6x2 = 12 u |
Change |
- 11 u |
- 11 u |
|
After |
5x3 = 15 u |
1x3 = 3 u |
4x3 = 12 u |
(a)
Since Wendy and Warren gave away the same number of stamps, the difference in the number of stamps between Wendy and Warren at first and in the end remains the same.
Make the difference in the number of stamps at first and in the end the same. LCM of 6 and 4 is 12.
Warren's stamps in March : Warren's stamps in April
14 : 3
(b)
Total number of stamps in March
= 26 u + 14 u
= 40 u
Total number of stamps in April
= 15 u + 3 u
= 18 u
Total stamps in March : Total stamps in April
40 : 18
(÷2)20 : 9
Answer(s): (a) 14 : 3; (b) 20 : 9