Ratio question

Question

Xavier, Kevin and John had a total of 126 stamps. The ratio of Xavier's stamps to Kevin's stamps was 2:1. The ratio of Kevin's stamps to John's stamp was 2:1. How many stamps did Kevin have?

Answer 1

x + k + j = 126

 

x:k = 2:1 so x = 2k

 

k:j = 2:1 so k = 2j

 

x = 2k = 2(2j) = 4j

 

substituting back in:

4j + 2j + j = 126

7j = 126

j = 18

k = 2j = 36

x = 4j = 72

 

Xavier had 72 stamps

Kevin had 36 stamps

John had 18 stamps