David, Andy and Charles collected marbles in the ratio of 8 : 6 : 7. After Charles gave
35 to David and Andy, Charles had 85 less marbles than David. The number of marbles that Andy had increased by 15%. How many marbles did David and Charles have in the end?
|
David |
Andy |
Charles |
Before |
8 u |
6 u |
7 u |
Change |
+ 3.3 u |
+ 0.9 u |
- 4.2 u |
After |
11.3 u |
6.9 u |
2.8 u |
Number of marbles that Charles gave to David and Andy
=
35 x 7 u
= 4.2 u
Number of marbles that Andy received from Charles
=
15100 x 6 u
= 0.9 u
Number of marbles that David received from Charles
= 4.2 u - 0.9 u
= 3.3 u
Number of less marbles that Charles had less than David
= 11.3 u - 2.8 u
= 8.5 u
8.5 u = 85
1 u = 85 ÷ 8.5 = 10
Number of marbles that David and Charles had
= 11.3 u + 2.8 u
= 14.1 u
= 14.1 x 10
= 141
Answer(s): 141