In April, Fanny and Owen had stickers in the ratio 11 : 8. In May, each of them gave away the same number of stickers. Fanny then had thrice as many stickers as Owen.
- Find the ratio of the number of stickers Owen had in April to the number of stickers he had in May.
- Find the ratio of the total number of stickers both had in April to the total number of stickers both had in May.
| |
Fanny |
Owen |
Difference |
| Before |
11x2 =
22 u |
8x2 =
16 u |
3x2 =
6 u |
| Change |
- 13 u |
- 13 u |
|
| After |
3x3 =
9 u |
1x3 =
3 u |
2x3 =
6 u |
(a)
Since Fanny and Owen gave away the same number of stickers, the difference in the number of stickers between Fanny and Owen 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 3 and 2 is 6.
Owen's stickers in April : Owen's stickers in May
16 : 3
(b)
Total number of stickers in April
= 22 u + 16 u
= 38 u
Total number of stickers in May
= 9 u + 3 u
= 12 u
Total stickers in April : Total stickers in May
38 : 12
(÷2)19 : 6
Answer(s): (a) 16 : 3; (b) 19 : 6
