Oscar, Sam and Cai collected coins in the ratio of 9 : 4 : 9. After Cai gave
710 to Oscar and Sam, Cai had 510 less coins than Oscar. The number of coins that Sam had increased by 60%. How many coins did Oscar and Cai have in the end?
| |
Oscar |
Sam |
Cai |
| Before |
9 u |
4 u |
9 u |
| Change |
+ 3.9 u |
+ 2.4 u |
- 6.3 u |
| After |
12.9 u |
6.4 u |
2.7 u |
Number of coins that Cai gave to Oscar and Sam
=
710 x 9 u
= 6.3 u
Number of coins that Sam received from Cai
=
60100 x 4 u
= 2.4 u
Number of coins that Oscar received from Cai
= 6.3 u - 2.4 u
= 3.9 u
Number of less coins that Cai had less than Oscar
= 12.9 u - 2.7 u
= 10.2 u
10.2 u = 510
1 u = 510 ÷ 10.2 = 50
Number of coins that Oscar and Cai had
= 12.9 u + 2.7 u
= 15.6 u
= 15.6 x 50
= 780
Answer(s): 780
