In March, Cathy and Xavier had stickers in the ratio 13 : 10. In April, each of them gave away the same number of stickers. Cathy then had thrice as many stickers as Xavier.
- Find the ratio of the number of stickers Xavier had in March to the number of stickers he had in April.
- Find the ratio of the total number of stickers both had in March to the total number of stickers both had in April.
| |
Cathy |
Xavier |
Difference |
| Before |
13x2 =
26 u |
10x2 =
20 u |
3x2 =
6 u |
| Change |
- 17 u |
- 17 u |
|
| After |
3x3 =
9 u |
1x3 =
3 u |
2x3 =
6 u |
(a)
Since Cathy and Xavier gave away the same number of stickers, the difference in the number of stickers between Cathy and Xavier 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.
Xavier's stickers in March : Xavier's stickers in April
20 : 3
(b)
Total number of stickers in March
= 26 u + 20 u
= 46 u
Total number of stickers in April
= 9 u + 3 u
= 12 u
Total stickers in March : Total stickers in April
46 : 12
(÷2)23 : 6
Answer(s): (a) 20 : 3; (b) 23 : 6
