Carl, Eric and Clayton collected cards in the ratio of 11 : 5 : 7. After Clayton gave
710 to Carl and Eric, Clayton had 309 less cards than Carl. The number of cards that Eric had increased by 70%. How many cards did Carl and Clayton have in the end?
| |
Carl |
Eric |
Clayton |
| Before |
11 u |
5 u |
7 u |
| Change |
+ 1.4 u |
+ 3.5 u |
- 4.9 u |
| After |
12.4 u |
8.5 u |
2.1 u |
Number of cards that Clayton gave to Carl and Eric
=
710 x 7 u
= 4.9 u
Number of cards that Eric received from Clayton
=
70100 x 5 u
= 3.5 u
Number of cards that Carl received from Clayton
= 4.9 u - 3.5 u
= 1.4 u
Number of less cards that Clayton had less than Carl
= 12.4 u - 2.1 u
= 10.3 u
10.3 u = 309
1 u = 309 ÷ 10.3 = 30
Number of cards that Carl and Clayton had
= 12.4 u + 2.1 u
= 14.5 u
= 14.5 x 30
= 435
Answer(s): 435
