Ivan, Will and Clint collected coins in the ratio of 8 : 7 : 8. After Clint gave
710 to Ivan and Will, Clint had 105 less coins than Ivan. The number of coins that Will had increased by 10%. How many coins did Ivan and Clint have in the end?
| |
Ivan |
Will |
Clint |
| Before |
8 u |
7 u |
8 u |
| Change |
+ 4.9 u |
+ 0.7 u |
- 5.6 u |
| After |
12.9 u |
7.7 u |
2.4 u |
Number of coins that Clint gave to Ivan and Will
=
710 x 8 u
= 5.6 u
Number of coins that Will received from Clint
=
10100 x 7 u
= 0.7 u
Number of coins that Ivan received from Clint
= 5.6 u - 0.7 u
= 4.9 u
Number of less coins that Clint had less than Ivan
= 12.9 u - 2.4 u
= 10.5 u
10.5 u = 105
1 u = 105 ÷ 10.5 = 10
Number of coins that Ivan and Clint had
= 12.9 u + 2.4 u
= 15.3 u
= 15.3 x 10
= 153
Answer(s): 153
