Neave, Oliver and Mark have some cards. The ratios of their cards are as follows:
Neave : (Neave + Oliver + Mark) = 1 : 5
Oliver : (Neave + Mark) = 1 : 5
Mark has 154 cards more than Oliver. In the end, Mark gives away all he has to Oliver and Neave so that both Oliver and Neave end up with the same number of cards, how many cards has Oliver received from Mark?
Oliver |
Mark |
Neave |
Total |
4x6 |
1x6 |
5x6 |
1x5 |
5x5 |
6x5 |
5 u |
19 u |
6 u |
30 u |
The total number of cards is repeated. Make the total number of cards the same. LCM of 5 and 6 is 30.
Number of cards that Mark has more than Oliver
= 19 u - 5 u
= 14 u
14 u = 154
1 u = 154 ÷ 14 = 11
|
Oliver |
Mark |
Neave |
Before |
5 u |
19 u |
6 u |
Change |
+ 10 u |
- 19 u |
+ 9 u |
After |
15 u |
0 u |
15 u |
Number of cards that Oliver has received from Mark
= 15 u - 5 u
= 10 u
= 10 x 11
= 110
Answer(s): 110