In April, Zara and Harry had stamps in the ratio 7 : 4. In May, each of them gave away the same number of stamps. Zara then had thrice as many stamps as Harry.
- Find the ratio of the number of stamps Harry had in April to the number of stamps he had in May.
- Find the ratio of the total number of stamps both had in April to the total number of stamps both had in May.
| |
Zara |
Harry |
Difference |
| Before |
7x2 =
14 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
- 5 u |
- 5 u |
|
| After |
3x3 =
9 u |
1x3 =
3 u |
2x3 =
6 u |
(a)
Since Zara and Harry gave away the same number of stamps, the difference in the number of stamps between Zara and Harry 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 3 and 2 is 6.
Harry's stamps in April : Harry's stamps in May
8 : 3
(b)
Total number of stamps in April
= 14 u + 8 u
= 22 u
Total number of stamps in May
= 9 u + 3 u
= 12 u
Total stamps in April : Total stamps in May
22 : 12
(÷2)11 : 6
Answer(s): (a) 8 : 3; (b) 11 : 6
