Seth, Billy and Clark collected cards in the ratio of 8 : 6 : 9. After Clark gave
710 to Seth and Billy, Clark had 392 less cards than Seth. The number of cards that Billy had increased by 30%. How many cards did Seth and Clark have in the end?
| |
Seth |
Billy |
Clark |
| Before |
8 u |
6 u |
9 u |
| Change |
+ 4.5 u |
+ 1.8 u |
- 6.3 u |
| After |
12.5 u |
7.8 u |
2.7 u |
Number of cards that Clark gave to Seth and Billy
=
710 x 9 u
= 6.3 u
Number of cards that Billy received from Clark
=
30100 x 6 u
= 1.8 u
Number of cards that Seth received from Clark
= 6.3 u - 1.8 u
= 4.5 u
Number of less cards that Clark had less than Seth
= 12.5 u - 2.7 u
= 9.8 u
9.8 u = 392
1 u = 392 ÷ 9.8 = 40
Number of cards that Seth and Clark had
= 12.5 u + 2.7 u
= 15.2 u
= 15.2 x 40
= 608
Answer(s): 608
