In May, Julie and Caden had stamps in the ratio 13 : 7. In June, each of them gave away the same number of stamps. Julie then had four times as many stamps as Caden.
- Find the ratio of the number of stamps Caden had in May to the number of stamps he had in June.
- Find the ratio of the total number of stamps both had in May to the total number of stamps both had in June.
| |
Julie |
Caden |
Difference |
| Before |
13x1 =
13 u |
7x1 =
7 u |
6x1 =
6 u |
| Change |
- 5 u |
- 5 u |
|
| After |
4x2 =
8 u |
1x2 =
2 u |
3x2 =
6 u |
(a)
Since Julie and Caden gave away the same number of stamps, the difference in the number of stamps between Julie and Caden 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 3 is 6.
Caden's stamps in May : Caden's stamps in June
7 : 2
(b)
Total number of stamps in May
= 13 u + 7 u
= 20 u
Total number of stamps in June
= 8 u + 2 u
= 10 u
Total stamps in May : Total stamps in June
20 : 10
(÷10)2 : 1
Answer(s): (a) 7 : 2; (b) 2 : 1
