Mark, Cody and Chung collected coins in the ratio of 7 : 9 : 4. After Chung gave
35 to Mark and Cody, Chung had 276 less coins than Mark. The number of coins that Cody had increased by 10%. How many coins did Mark and Chung have in the end?
| |
Mark |
Cody |
Chung |
| Before |
7 u |
9 u |
4 u |
| Change |
+ 1.5 u |
+ 0.9 u |
- 2.4 u |
| After |
8.5 u |
9.9 u |
1.6 u |
Number of coins that Chung gave to Mark and Cody
=
35 x 4 u
= 2.4 u
Number of coins that Cody received from Chung
=
10100 x 9 u
= 0.9 u
Number of coins that Mark received from Chung
= 2.4 u - 0.9 u
= 1.5 u
Number of less coins that Chung had less than Mark
= 8.5 u - 1.6 u
= 6.9 u
6.9 u = 276
1 u = 276 ÷ 6.9 = 40
Number of coins that Mark and Chung had
= 8.5 u + 1.6 u
= 10.1 u
= 10.1 x 40
= 404
Answer(s): 404
