Fabian, George and Cole collected stamps in the ratio of 9 : 5 : 4. After Cole gave
34 to Fabian and George, Cole had 380 less stamps than Fabian. The number of stamps that George had increased by 30%. How many stamps did Fabian and Cole have in the end?
| |
Fabian |
George |
Cole |
| Before |
9 u |
5 u |
4 u |
| Change |
+ 1.5 u |
+ 1.5 u |
- 3 u |
| After |
10.5 u |
6.5 u |
1 u |
Number of stamps that Cole gave to Fabian and George
=
34 x 4 u
= 3 u
Number of stamps that George received from Cole
=
30100 x 5 u
= 1.5 u
Number of stamps that Fabian received from Cole
= 3 u - 1.5 u
= 1.5 u
Number of less stamps that Cole had less than Fabian
= 10.5 u - 1 u
= 9.5 u
9.5 u = 380
1 u = 380 ÷ 9.5 = 40
Number of stamps that Fabian and Cole had
= 10.5 u + 1 u
= 11.5 u
= 11.5 x 40
= 460
Answer(s): 460
