Daniel, Valen and Calvin collected coins in the ratio of 7 : 8 : 10. After Calvin gave
34 to Daniel and Valen, Calvin had 336 less coins than Daniel. The number of coins that Valen had increased by 45%. How many coins did Daniel and Calvin have in the end?
|
Daniel |
Valen |
Calvin |
Before |
7 u |
8 u |
10 u |
Change |
+ 3.9 u |
+ 3.6 u |
- 7.5 u |
After |
10.9 u |
11.6 u |
2.5 u |
Number of coins that Calvin gave to Daniel and Valen
=
34 x 10 u
= 7.5 u
Number of coins that Valen received from Calvin
=
45100 x 8 u
= 3.6 u
Number of coins that Daniel received from Calvin
= 7.5 u - 3.6 u
= 3.9 u
Number of less coins that Calvin had less than Daniel
= 10.9 u - 2.5 u
= 8.4 u
8.4 u = 336
1 u = 336 ÷ 8.4 = 40
Number of coins that Daniel and Calvin had
= 10.9 u + 2.5 u
= 13.4 u
= 13.4 x 40
= 536
Answer(s): 536