Sean, George and Chan collected cards in the ratio of 9 : 8 : 8. After Chan gave
34 to Sean and George, Chan had 318 less cards than Sean. The number of cards that George had increased by 30%. How many cards did Sean and Chan have in the end?
| |
Sean |
George |
Chan |
| Before |
9 u |
8 u |
8 u |
| Change |
+ 3.6 u |
+ 2.4 u |
- 6 u |
| After |
12.6 u |
10.4 u |
2 u |
Number of cards that Chan gave to Sean and George
=
34 x 8 u
= 6 u
Number of cards that George received from Chan
=
30100 x 8 u
= 2.4 u
Number of cards that Sean received from Chan
= 6 u - 2.4 u
= 3.6 u
Number of less cards that Chan had less than Sean
= 12.6 u - 2 u
= 10.6 u
10.6 u = 318
1 u = 318 ÷ 10.6 = 30
Number of cards that Sean and Chan had
= 12.6 u + 2 u
= 14.6 u
= 14.6 x 30
= 438
Answer(s): 438
