Cody, Flynn and Chan collected marbles in the ratio of 11 : 8 : 7. After Chan gave
310 to Cody and Flynn, Chan had 310 less marbles than Cody. The number of marbles that Flynn had increased by 25%. How many marbles did Cody and Chan have in the end?
| |
Cody |
Flynn |
Chan |
| Before |
11 u |
8 u |
7 u |
| Change |
+ 0.1 u |
+ 2 u |
- 2.1 u |
| After |
11.1 u |
10 u |
4.9 u |
Number of marbles that Chan gave to Cody and Flynn
=
310 x 7 u
= 2.1 u
Number of marbles that Flynn received from Chan
=
25100 x 8 u
= 2 u
Number of marbles that Cody received from Chan
= 2.1 u - 2 u
= 0.1 u
Number of less marbles that Chan had less than Cody
= 11.1 u - 4.9 u
= 6.2 u
6.2 u = 310
1 u = 310 ÷ 6.2 = 50
Number of marbles that Cody and Chan had
= 11.1 u + 4.9 u
= 16 u
= 16 x 50
= 800
Answer(s): 800
