Mark, Cody and Clark collected coins in the ratio of 7 : 4 : 9. After Clark gave
35 to Mark and Cody, Clark had 116 less coins than Mark. The number of coins that Cody had increased by 75%. How many coins did Mark and Clark have in the end?
| |
Mark |
Cody |
Clark |
| Before |
7 u |
4 u |
9 u |
| Change |
+ 2.4 u |
+ 3 u |
- 5.4 u |
| After |
9.4 u |
7 u |
3.6 u |
Number of coins that Clark gave to Mark and Cody
=
35 x 9 u
= 5.4 u
Number of coins that Cody received from Clark
=
75100 x 4 u
= 3 u
Number of coins that Mark received from Clark
= 5.4 u - 3 u
= 2.4 u
Number of less coins that Clark had less than Mark
= 9.4 u - 3.6 u
= 5.8 u
5.8 u = 116
1 u = 116 ÷ 5.8 = 20
Number of coins that Mark and Clark had
= 9.4 u + 3.6 u
= 13 u
= 13 x 20
= 260
Answer(s): 260
