If 6 apples cost the same as 3 pears and 4 pears cost the same as 5 melons how many melons can you buy for the price of 32 apples

Question

Please help

Answer 1

Let A be the cost of an apple, P the cost of a pear, and M the cost of a melon  

 

It is given that 6A = 3P  and  4P = 5M  

Therefore A = P/2  and P = 5M/4 

 

32A = 32(P/2) = 16P = 16(5M/4) = 20M  

 

You can buy 20 melons for the price of 32 apples  

 

Check:  Suppose A = 60

            Then 6A = 360 = 3P  ==>  P = 120  

            And 4P = 480 = 5M ==>  M = 96 

            Then 32A = 32*60 = 1920

            And 20M = 20*96 = 1920