Cody, Reggie and Charles collected cards in the ratio of 7 : 5 : 6. After Charles gave
15 to Cody and Reggie, Charles had 116 less cards than Cody. The number of cards that Reggie had increased by 10%. How many cards did Cody and Charles have in the end?
| |
Cody |
Reggie |
Charles |
| Before |
7 u |
5 u |
6 u |
| Change |
+ 0.7 u |
+ 0.5 u |
- 1.2 u |
| After |
7.7 u |
5.5 u |
4.8 u |
Number of cards that Charles gave to Cody and Reggie
=
15 x 6 u
= 1.2 u
Number of cards that Reggie received from Charles
=
10100 x 5 u
= 0.5 u
Number of cards that Cody received from Charles
= 1.2 u - 0.5 u
= 0.7 u
Number of less cards that Charles had less than Cody
= 7.7 u - 4.8 u
= 2.9 u
2.9 u = 116
1 u = 116 ÷ 2.9 = 40
Number of cards that Cody and Charles had
= 7.7 u + 4.8 u
= 12.5 u
= 12.5 x 40
= 500
Answer(s): 500
