Owen, Brandon and Corwin collected marbles in the ratio of 9 : 8 : 9. After Corwin gave
45 to Owen and Brandon, Corwin had 400 less marbles than Owen. The number of marbles that Brandon had increased by 80%. How many marbles did Owen and Corwin have in the end?
|
Owen |
Brandon |
Corwin |
Before |
9 u |
8 u |
9 u |
Change |
+ 0.8 u |
+ 6.4 u |
- 7.2 u |
After |
9.8 u |
14.4 u |
1.8 u |
Number of marbles that Corwin gave to Owen and Brandon
=
45 x 9 u
= 7.2 u
Number of marbles that Brandon received from Corwin
=
80100 x 8 u
= 6.4 u
Number of marbles that Owen received from Corwin
= 7.2 u - 6.4 u
= 0.8 u
Number of less marbles that Corwin had less than Owen
= 9.8 u - 1.8 u
= 8 u
8 u = 400
1 u = 400 ÷ 8 = 50
Number of marbles that Owen and Corwin had
= 9.8 u + 1.8 u
= 11.6 u
= 11.6 x 50
= 580
Answer(s): 580