Wesley, Ivan and Cooper collected marbles in the ratio of 8 : 5 : 6. After Cooper gave
15 to Wesley and Ivan, Cooper had 195 less marbles than Wesley. The number of marbles that Ivan had increased by 10%. How many marbles did Wesley and Cooper have in the end?
|
Wesley |
Ivan |
Cooper |
Before |
8 u |
5 u |
6 u |
Change |
+ 0.7 u |
+ 0.5 u |
- 1.2 u |
After |
8.7 u |
5.5 u |
4.8 u |
Number of marbles that Cooper gave to Wesley and Ivan
=
15 x 6 u
= 1.2 u
Number of marbles that Ivan received from Cooper
=
10100 x 5 u
= 0.5 u
Number of marbles that Wesley received from Cooper
= 1.2 u - 0.5 u
= 0.7 u
Number of less marbles that Cooper had less than Wesley
= 8.7 u - 4.8 u
= 3.9 u
3.9 u = 195
1 u = 195 ÷ 3.9 = 50
Number of marbles that Wesley and Cooper had
= 8.7 u + 4.8 u
= 13.5 u
= 13.5 x 50
= 675
Answer(s): 675