Albert, Flynn and Cai collected cards in the ratio of 11 : 9 : 10. After Cai gave
34 to Albert and Flynn, Cai had 124 less cards than Albert. The number of cards that Flynn had increased by 40%. How many cards did Albert and Cai have in the end?
| |
Albert |
Flynn |
Cai |
| Before |
11 u |
9 u |
10 u |
| Change |
+ 3.9 u |
+ 3.6 u |
- 7.5 u |
| After |
14.9 u |
12.6 u |
2.5 u |
Number of cards that Cai gave to Albert and Flynn
=
34 x 10 u
= 7.5 u
Number of cards that Flynn received from Cai
=
40100 x 9 u
= 3.6 u
Number of cards that Albert received from Cai
= 7.5 u - 3.6 u
= 3.9 u
Number of less cards that Cai had less than Albert
= 14.9 u - 2.5 u
= 12.4 u
12.4 u = 124
1 u = 124 ÷ 12.4 = 10
Number of cards that Albert and Cai had
= 14.9 u + 2.5 u
= 17.4 u
= 17.4 x 10
= 174
Answer(s): 174
