Andy, Ken and Calvin collected cards in the ratio of 9 : 7 : 10. After Calvin gave
710 to Andy and Ken, Calvin had 81 less cards than Andy. The number of cards that Ken had increased by 70%. How many cards did Andy and Calvin have in the end?
| |
Andy |
Ken |
Calvin |
| Before |
9 u |
7 u |
10 u |
| Change |
+ 2.1 u |
+ 4.9 u |
- 7 u |
| After |
11.1 u |
11.9 u |
3 u |
Number of cards that Calvin gave to Andy and Ken
=
710 x 10 u
= 7 u
Number of cards that Ken received from Calvin
=
70100 x 7 u
= 4.9 u
Number of cards that Andy received from Calvin
= 7 u - 4.9 u
= 2.1 u
Number of less cards that Calvin had less than Andy
= 11.1 u - 3 u
= 8.1 u
8.1 u = 81
1 u = 81 ÷ 8.1 = 10
Number of cards that Andy and Calvin had
= 11.1 u + 3 u
= 14.1 u
= 14.1 x 10
= 141
Answer(s): 141
