Riordan, Wesley and Clifford collected cards in the ratio of 7 : 7 : 10. After Clifford gave
35 to Riordan and Wesley, Clifford had 82 less cards than Riordan. The number of cards that Wesley had increased by 70%. How many cards did Riordan and Clifford have in the end?
|
Riordan |
Wesley |
Clifford |
Before |
7 u |
7 u |
10 u |
Change |
+ 1.1 u |
+ 4.9 u |
- 6 u |
After |
8.1 u |
11.9 u |
4 u |
Number of cards that Clifford gave to Riordan and Wesley
=
35 x 10 u
= 6 u
Number of cards that Wesley received from Clifford
=
70100 x 7 u
= 4.9 u
Number of cards that Riordan received from Clifford
= 6 u - 4.9 u
= 1.1 u
Number of less cards that Clifford had less than Riordan
= 8.1 u - 4 u
= 4.1 u
4.1 u = 82
1 u = 82 ÷ 4.1 = 20
Number of cards that Riordan and Clifford had
= 8.1 u + 4 u
= 12.1 u
= 12.1 x 20
= 242
Answer(s): 242