Will, Reggie and Corwin collected cards in the ratio of 8 : 8 : 9. After Corwin gave
35 to Will and Reggie, Corwin had 264 less cards than Will. The number of cards that Reggie had increased by 40%. How many cards did Will and Corwin have in the end?
| |
Will |
Reggie |
Corwin |
| Before |
8 u |
8 u |
9 u |
| Change |
+ 2.2 u |
+ 3.2 u |
- 5.4 u |
| After |
10.2 u |
11.2 u |
3.6 u |
Number of cards that Corwin gave to Will and Reggie
=
35 x 9 u
= 5.4 u
Number of cards that Reggie received from Corwin
=
40100 x 8 u
= 3.2 u
Number of cards that Will received from Corwin
= 5.4 u - 3.2 u
= 2.2 u
Number of less cards that Corwin had less than Will
= 10.2 u - 3.6 u
= 6.6 u
6.6 u = 264
1 u = 264 ÷ 6.6 = 40
Number of cards that Will and Corwin had
= 10.2 u + 3.6 u
= 13.8 u
= 13.8 x 40
= 552
Answer(s): 552
