Owen, David and Cai collected stamps in the ratio of 7 : 4 : 8. After Cai gave
45 to Owen and David, Cai had 70 less stamps than Owen. The number of stamps that David had increased by 120%. How many stamps did Owen and Cai have in the end?
| |
Owen |
David |
Cai |
| Before |
7 u |
4 u |
8 u |
| Change |
+ 1.6 u |
+ 4.8 u |
- 6.4 u |
| After |
8.6 u |
8.8 u |
1.6 u |
Number of stamps that Cai gave to Owen and David
=
45 x 8 u
= 6.4 u
Number of stamps that David received from Cai
=
120100 x 4 u
= 4.8 u
Number of stamps that Owen received from Cai
= 6.4 u - 4.8 u
= 1.6 u
Number of less stamps that Cai had less than Owen
= 8.6 u - 1.6 u
= 7 u
7 u = 70
1 u = 70 ÷ 7 = 10
Number of stamps that Owen and Cai had
= 8.6 u + 1.6 u
= 10.2 u
= 10.2 x 10
= 102
Answer(s): 102
