In January, Betty and Paul had stickers in the ratio 6 : 5. In February, each of them gave away the same number of stickers. Betty then had thrice as many stickers as Paul.
- Find the ratio of the number of stickers Paul had in January to the number of stickers he had in February.
- Find the ratio of the total number of stickers both had in January to the total number of stickers both had in February.
| |
Betty |
Paul |
Difference |
| Before |
6x2 =
12 u |
5x2 =
10 u |
1x2 =
2 u |
| Change |
- 9 u |
- 9 u |
|
| After |
3x1 =
3 u |
1x1 =
1 u |
2x1 =
2 u |
(a)
Since Betty and Paul gave away the same number of stickers, the difference in the number of stickers between Betty and Paul at first and in the end remains the same.
Make the difference in the number of stickers at first and in the end the same. LCM of 1 and 2 is 2.
Paul's stickers in January : Paul's stickers in February
10 : 1
(b)
Total number of stickers in January
= 12 u + 10 u
= 22 u
Total number of stickers in February
= 3 u + 1 u
= 4 u
Total stickers in January : Total stickers in February
22 : 4
(÷2)11 : 2
Answer(s): (a) 10 : 1; (b) 11 : 2
