Luis, Ben and Chung collected coins in the ratio of 11 : 4 : 7. After Chung gave
35 to Luis and Ben, Chung had 188 less coins than Luis. The number of coins that Ben had increased by 75%. How many coins did Luis and Chung have in the end?
| |
Luis |
Ben |
Chung |
| Before |
11 u |
4 u |
7 u |
| Change |
+ 1.2 u |
+ 3 u |
- 4.2 u |
| After |
12.2 u |
7 u |
2.8 u |
Number of coins that Chung gave to Luis and Ben
=
35 x 7 u
= 4.2 u
Number of coins that Ben received from Chung
=
75100 x 4 u
= 3 u
Number of coins that Luis received from Chung
= 4.2 u - 3 u
= 1.2 u
Number of less coins that Chung had less than Luis
= 12.2 u - 2.8 u
= 9.4 u
9.4 u = 188
1 u = 188 ÷ 9.4 = 20
Number of coins that Luis and Chung had
= 12.2 u + 2.8 u
= 15 u
= 15 x 20
= 300
Answer(s): 300
