How many times did he go on each ride?

Question

Corion goes to the carnival. He goes in his favorite ride the Ferris wheel (4 tickets each ride) and the dizzy cups (3 tickets each ride). He uses 30 tickets and goes on the ferris wheel 4 times more than he goes on the dizzy cups. How many times did he go on each ride? 

Answer 1

Let F = number of times he goes on the Ferris wheel

Let D = number of times he goes on the dizzy cups

 

He goes on the ferris wheel 4 times more than the dizzy cups  ==>  F = D + 4

 

He uses 30 tickets  ==>  4*F + 3*D = 30

 

Substitute the value for F from the 1st equation into the 2nd equation 

 

4*(D + 4) + 3*D = 30

4*D + 16 + 3*D = 30

7*D = 14

D = 2

 

So F = 2 + 4 = 6

 

He went on the Ferris wheel 6 times and the dizzy cups 2 times 

 

Check:  6 - 2 = 4 times more on Ferris wheel than dizzy cups

            4*(6) + 3*(2) = 24 + 6 = 30 tickets used 

 

Answer 2

Solution edited.