comparing ratios

Question

there is a total of 600 blue, yellow, and red balls in a machine.

The ratio of blue balls to the total number of balls is 1:4.

The ratio of yellow balls to to blue balls is 7:3.

The ratio of blue balls to red balls is 3:2 

Which color of balls is most common?

Answer 1

1/4 of the balls are blue. That is 150

 

y : b :: 7 : 3

y : 150 :: 7 : 3

3y = 1050

Can you solve for y?

 

b : r :: 3 : 2

150 : r :: 3: 2

300 = 3r

Can you solve for r

 

Can you now answer?