In February, Julie and Glen had stamps in the ratio 7 : 4. In March, each of them gave away the same number of stamps. Julie then had thrice as many stamps as Glen.
- Find the ratio of the number of stamps Glen had in February to the number of stamps he had in March.
- Find the ratio of the total number of stamps both had in February to the total number of stamps both had in March.
| |
Julie |
Glen |
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 Julie and Glen gave away the same number of stamps, the difference in the number of stamps between Julie and Glen 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.
Glen's stamps in February : Glen's stamps in March
8 : 3
(b)
Total number of stamps in February
= 14 u + 8 u
= 22 u
Total number of stamps in March
= 9 u + 3 u
= 12 u
Total stamps in February : Total stamps in March
22 : 12
(÷2)11 : 6
Answer(s): (a) 8 : 3; (b) 11 : 6
