Tommy, Ian and Cyrus collected coins in the ratio of 7 : 4 : 8. After Cyrus gave
35 to Tommy and Ian, Cyrus had 296 less coins than Tommy. The number of coins that Ian had increased by 30%. How many coins did Tommy and Cyrus have in the end?
| |
Tommy |
Ian |
Cyrus |
| Before |
7 u |
4 u |
8 u |
| Change |
+ 3.6 u |
+ 1.2 u |
- 4.8 u |
| After |
10.6 u |
5.2 u |
3.2 u |
Number of coins that Cyrus gave to Tommy and Ian
=
35 x 8 u
= 4.8 u
Number of coins that Ian received from Cyrus
=
30100 x 4 u
= 1.2 u
Number of coins that Tommy received from Cyrus
= 4.8 u - 1.2 u
= 3.6 u
Number of less coins that Cyrus had less than Tommy
= 10.6 u - 3.2 u
= 7.4 u
7.4 u = 296
1 u = 296 ÷ 7.4 = 40
Number of coins that Tommy and Cyrus had
= 10.6 u + 3.2 u
= 13.8 u
= 13.8 x 40
= 552
Answer(s): 552
