Oliver, Warren and Charles collected marbles in the ratio of 7 : 5 : 7. After Charles gave
310 to Oliver and Warren, Charles had 66 less marbles than Oliver. The number of marbles that Warren had increased by 40%. How many marbles did Oliver and Charles have in the end?
|
Oliver |
Warren |
Charles |
Before |
7 u |
5 u |
7 u |
Change |
+ 0.1 u |
+ 2 u |
- 2.1 u |
After |
7.1 u |
7 u |
4.9 u |
Number of marbles that Charles gave to Oliver and Warren
=
310 x 7 u
= 2.1 u
Number of marbles that Warren received from Charles
=
40100 x 5 u
= 2 u
Number of marbles that Oliver received from Charles
= 2.1 u - 2 u
= 0.1 u
Number of less marbles that Charles had less than Oliver
= 7.1 u - 4.9 u
= 2.2 u
2.2 u = 66
1 u = 66 ÷ 2.2 = 30
Number of marbles that Oliver and Charles had
= 7.1 u + 4.9 u
= 12 u
= 12 x 30
= 360
Answer(s): 360