In May, Zoe and Flynn had stamps in the ratio 14 : 9. In June, each of them gave away the same number of stamps. Zoe then had five times as many stamps as Flynn.
- Find the ratio of the number of stamps Flynn 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.
| |
Zoe |
Flynn |
Difference |
| Before |
14x4 =
56 u |
9x4 =
36 u |
5x4 =
20 u |
| Change |
- 31 u |
- 31 u |
|
| After |
5x5 =
25 u |
1x5 =
5 u |
4x5 =
20 u |
(a)
Since Zoe and Flynn gave away the same number of stamps, the difference in the number of stamps between Zoe and Flynn 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 5 and 4 is 20.
Flynn's stamps in May : Flynn's stamps in June
36 : 5
(b)
Total number of stamps in May
= 56 u + 36 u
= 92 u
Total number of stamps in June
= 25 u + 5 u
= 30 u
Total stamps in May : Total stamps in June
92 : 30
(÷2)46 : 15
Answer(s): (a) 36 : 5; (b) 46 : 15
