19. Adam, Bill and Chris went swimming 15 times last summer. Adam paid for everyone eight times and Bill paid for everyone seven times. At the end of the summer, Chris calculated that he owed $£ 30$. How should he split this between Adam and Bill so that each has paid the same amount?
A $£ 22$ to Adam and $£ 8$ to Bill
B $£ 20$ to Adam and $£ 10$ to Bill
C $£ 18$ to Adam and $£ 12$ to Bill
D $£ 16$ to Adam and $£ 14$ to Bill
E $£ 15$ to Adam and $£ 15$ to Bill
19. C If each person paid their fair share, each would have paid five times. Therefore Adam has paid on an extra three occasions and Bill has paid on an extra two occasions. Hence the $£ 30$ Chris owes should be divided in the ratio 3:2. Therefore Adam should get $\frac{3}{5} \times £ 30=£ 18$ and Bill should get $\frac{2}{5} \times £ 30=£ 12$.