Ashop sells three types of boots football rugby and hiking cells are usually in the ratio of 6: 2: 3 last month 24 pairs of football boots were sold how many boots altogether were sold last month

First we define the variables:
 x = football boots
 y = rugby boots
 z = hiking boots
 Now we write the equations:
 (x / y) = 6/2
 (y / z) = 2/3
 For x = 24 we have:
 (24 / y) = 6/2
 (24 / y) = 3
 y = 24/3
 y = 8
 On the other hand:
 (y / z) = 2/3
 (8 / z) = 2/3
 (8) * (3/2) = z
 z = 12
 Then, the sum is:
 x + y + z = 24 + 8 + 12 = 44
 
 44 boots were sold last month

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.