Reggie, Ian and Chen collected coins in the ratio of 12 : 6 : 7. After Chen gave
310 to Reggie and Ian, Chen had 370 less coins than Reggie. The number of coins that Ian had increased by 30%. How many coins did Reggie and Chen have in the end?
| |
Reggie |
Ian |
Chen |
| Before |
12 u |
6 u |
7 u |
| Change |
+ 0.3 u |
+ 1.8 u |
- 2.1 u |
| After |
12.3 u |
7.8 u |
4.9 u |
Number of coins that Chen gave to Reggie and Ian
=
310 x 7 u
= 2.1 u
Number of coins that Ian received from Chen
=
30100 x 6 u
= 1.8 u
Number of coins that Reggie received from Chen
= 2.1 u - 1.8 u
= 0.3 u
Number of less coins that Chen had less than Reggie
= 12.3 u - 4.9 u
= 7.4 u
7.4 u = 370
1 u = 370 ÷ 7.4 = 50
Number of coins that Reggie and Chen had
= 12.3 u + 4.9 u
= 17.2 u
= 17.2 x 50
= 860
Answer(s): 860
