Zeph, Valen and Clint collected coins in the ratio of 11 : 8 : 6. After Clint gave
35 to Zeph and Valen, Clint had 98 less coins than Zeph. The number of coins that Valen had increased by 30%. How many coins did Zeph and Clint have in the end?
|
Zeph |
Valen |
Clint |
Before |
11 u |
8 u |
6 u |
Change |
+ 1.2 u |
+ 2.4 u |
- 3.6 u |
After |
12.2 u |
10.4 u |
2.4 u |
Number of coins that Clint gave to Zeph and Valen
=
35 x 6 u
= 3.6 u
Number of coins that Valen received from Clint
=
30100 x 8 u
= 2.4 u
Number of coins that Zeph received from Clint
= 3.6 u - 2.4 u
= 1.2 u
Number of less coins that Clint had less than Zeph
= 12.2 u - 2.4 u
= 9.8 u
9.8 u = 98
1 u = 98 ÷ 9.8 = 10
Number of coins that Zeph and Clint had
= 12.2 u + 2.4 u
= 14.6 u
= 14.6 x 10
= 146
Answer(s): 146