Oliver, Julian and Chan collected cards in the ratio of 9 : 4 : 6. After Chan gave
310 to Oliver and Julian, Chan had 180 less cards than Oliver. The number of cards that Julian had increased by 15%. How many cards did Oliver and Chan have in the end?
| |
Oliver |
Julian |
Chan |
| Before |
9 u |
4 u |
6 u |
| Change |
+ 1.2 u |
+ 0.6 u |
- 1.8 u |
| After |
10.2 u |
4.6 u |
4.2 u |
Number of cards that Chan gave to Oliver and Julian
=
310 x 6 u
= 1.8 u
Number of cards that Julian received from Chan
=
15100 x 4 u
= 0.6 u
Number of cards that Oliver received from Chan
= 1.8 u - 0.6 u
= 1.2 u
Number of less cards that Chan had less than Oliver
= 10.2 u - 4.2 u
= 6 u
6 u = 180
1 u = 180 ÷ 6 = 30
Number of cards that Oliver and Chan had
= 10.2 u + 4.2 u
= 14.4 u
= 14.4 x 30
= 432
Answer(s): 432
