Owen, Perry and Colin collected cards in the ratio of 9 : 8 : 10. After Colin gave
35 to Owen and Perry, Colin had 196 less cards than Owen. The number of cards that Perry had increased by 15%. How many cards did Owen and Colin have in the end?
| |
Owen |
Perry |
Colin |
| Before |
9 u |
8 u |
10 u |
| Change |
+ 4.8 u |
+ 1.2 u |
- 6 u |
| After |
13.8 u |
9.2 u |
4 u |
Number of cards that Colin gave to Owen and Perry
=
35 x 10 u
= 6 u
Number of cards that Perry received from Colin
=
15100 x 8 u
= 1.2 u
Number of cards that Owen received from Colin
= 6 u - 1.2 u
= 4.8 u
Number of less cards that Colin had less than Owen
= 13.8 u - 4 u
= 9.8 u
9.8 u = 196
1 u = 196 ÷ 9.8 = 20
Number of cards that Owen and Colin had
= 13.8 u + 4 u
= 17.8 u
= 17.8 x 20
= 356
Answer(s): 356
