In January, Fanny and Tom had stickers in the ratio 13 : 4. In February, each of them gave away the same number of stickers. Fanny then had five times as many stickers as Tom.
- Find the ratio of the number of stickers Tom 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.
| |
Fanny |
Tom |
Difference |
| Before |
13x4 =
52 u |
4x4 =
16 u |
9x4 =
36 u |
| Change |
- 7 u |
- 7 u |
|
| After |
5x9 =
45 u |
1x9 =
9 u |
4x9 =
36 u |
(a)
Since Fanny and Tom gave away the same number of stickers, the difference in the number of stickers between Fanny and Tom 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 9 and 4 is 36.
Tom's stickers in January : Tom's stickers in February
16 : 9
(b)
Total number of stickers in January
= 52 u + 16 u
= 68 u
Total number of stickers in February
= 45 u + 9 u
= 54 u
Total stickers in January : Total stickers in February
68 : 54
(÷2)34 : 27
Answer(s): (a) 16 : 9; (b) 34 : 27
