Tom, Fabian and Chan collected cards in the ratio of 7 : 6 : 9. After Chan gave
310 to Tom and Fabian, Chan had 19 less cards than Tom. The number of cards that Fabian had increased by 25%. How many cards did Tom and Chan have in the end?
| |
Tom |
Fabian |
Chan |
| Before |
7 u |
6 u |
9 u |
| Change |
+ 1.2 u |
+ 1.5 u |
- 2.7 u |
| After |
8.2 u |
7.5 u |
6.3 u |
Number of cards that Chan gave to Tom and Fabian
=
310 x 9 u
= 2.7 u
Number of cards that Fabian received from Chan
=
25100 x 6 u
= 1.5 u
Number of cards that Tom received from Chan
= 2.7 u - 1.5 u
= 1.2 u
Number of less cards that Chan had less than Tom
= 8.2 u - 6.3 u
= 1.9 u
1.9 u = 19
1 u = 19 ÷ 1.9 = 10
Number of cards that Tom and Chan had
= 8.2 u + 6.3 u
= 14.5 u
= 14.5 x 10
= 145
Answer(s): 145
