Luis, David and Corwin collected cards in the ratio of 11 : 7 : 8. After Corwin gave
34 to Luis and David, Corwin had 715 less cards than Luis. The number of cards that David had increased by 10%. How many cards did Luis and Corwin have in the end?
| |
Luis |
David |
Corwin |
| Before |
11 u |
7 u |
8 u |
| Change |
+ 5.3 u |
+ 0.7 u |
- 6 u |
| After |
16.3 u |
7.7 u |
2 u |
Number of cards that Corwin gave to Luis and David
=
34 x 8 u
= 6 u
Number of cards that David received from Corwin
=
10100 x 7 u
= 0.7 u
Number of cards that Luis received from Corwin
= 6 u - 0.7 u
= 5.3 u
Number of less cards that Corwin had less than Luis
= 16.3 u - 2 u
= 14.3 u
14.3 u = 715
1 u = 715 ÷ 14.3 = 50
Number of cards that Luis and Corwin had
= 16.3 u + 2 u
= 18.3 u
= 18.3 x 50
= 915
Answer(s): 915
