In January, Hazel and Bobby had stickers in the ratio 9 : 8. In February, each of them gave away the same number of stickers. Hazel then had five times as many stickers as Bobby.
- Find the ratio of the number of stickers Bobby 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.
| |
Hazel |
Bobby |
Difference |
| Before |
9x4 =
36 u |
8x4 =
32 u |
1x4 =
4 u |
| Change |
- 31 u |
- 31 u |
|
| After |
5x1 =
5 u |
1x1 =
1 u |
4x1 =
4 u |
(a)
Since Hazel and Bobby gave away the same number of stickers, the difference in the number of stickers between Hazel and Bobby 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 4 is 4.
Bobby's stickers in January : Bobby's stickers in February
32 : 1
(b)
Total number of stickers in January
= 36 u + 32 u
= 68 u
Total number of stickers in February
= 5 u + 1 u
= 6 u
Total stickers in January : Total stickers in February
68 : 6
(÷2)34 : 3
Answer(s): (a) 32 : 1; (b) 34 : 3
