In February, Gabby and Ken had stamps in the ratio 11 : 9. In March, each of them gave away the same number of stamps. Gabby then had four times as many stamps as Ken.
- Find the ratio of the number of stamps Ken 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.
| |
Gabby |
Ken |
Difference |
| Before |
11x3 =
33 u |
9x3 =
27 u |
2x3 =
6 u |
| Change |
- 25 u |
- 25 u |
|
| After |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
(a)
Since Gabby and Ken gave away the same number of stamps, the difference in the number of stamps between Gabby and Ken 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 2 and 3 is 6.
Ken's stamps in February : Ken's stamps in March
27 : 2
(b)
Total number of stamps in February
= 33 u + 27 u
= 60 u
Total number of stamps in March
= 8 u + 2 u
= 10 u
Total stamps in February : Total stamps in March
60 : 10
(÷10)6 : 1
Answer(s): (a) 27 : 2; (b) 6 : 1
