Flynn, George and Charles collected cards in the ratio of 7 : 5 : 6. After Charles gave
310 to Flynn and George, Charles had 124 less cards than Flynn. The number of cards that George had increased by 30%. How many cards did Flynn and Charles have in the end?
|
Flynn |
George |
Charles |
Before |
7 u |
5 u |
6 u |
Change |
+ 0.3 u |
+ 1.5 u |
- 1.8 u |
After |
7.3 u |
6.5 u |
4.2 u |
Number of cards that Charles gave to Flynn and George
=
310 x 6 u
= 1.8 u
Number of cards that George received from Charles
=
30100 x 5 u
= 1.5 u
Number of cards that Flynn received from Charles
= 1.8 u - 1.5 u
= 0.3 u
Number of less cards that Charles had less than Flynn
= 7.3 u - 4.2 u
= 3.1 u
3.1 u = 124
1 u = 124 ÷ 3.1 = 40
Number of cards that Flynn and Charles had
= 7.3 u + 4.2 u
= 11.5 u
= 11.5 x 40
= 460
Answer(s): 460