George, Ryan and Cyrus collected stamps in the ratio of 8 : 10 : 9. After Cyrus gave
35 to George and Ryan, Cyrus had 116 less stamps than George. The number of stamps that Ryan had increased by 40%. How many stamps did George and Cyrus have in the end?
| |
George |
Ryan |
Cyrus |
| Before |
8 u |
10 u |
9 u |
| Change |
+ 1.4 u |
+ 4 u |
- 5.4 u |
| After |
9.4 u |
14 u |
3.6 u |
Number of stamps that Cyrus gave to George and Ryan
=
35 x 9 u
= 5.4 u
Number of stamps that Ryan received from Cyrus
=
40100 x 10 u
= 4 u
Number of stamps that George received from Cyrus
= 5.4 u - 4 u
= 1.4 u
Number of less stamps that Cyrus had less than George
= 9.4 u - 3.6 u
= 5.8 u
5.8 u = 116
1 u = 116 ÷ 5.8 = 20
Number of stamps that George and Cyrus had
= 9.4 u + 3.6 u
= 13 u
= 13 x 20
= 260
Answer(s): 260
