Q:

I have 3 types of shapes: triangle, square or circle in the ratio 3:6:1. The triangles are either red or blue. The ratio of red triangles to blue triangles is 4:5. Given that I have 12 red triangles, how many circles are there

Accepted Solution

A:
ok first lets take care of the color
given that you have 12 red triangles and the ratio for red triangles to blue triangles is 4:5
if 12=4 than blue=5
12 times 5= 60
12 times 4 = 48
48 red and 60 blue = triangles
48+60=108
there are 108 triangles in total
now since the ratio for triangle square or circle is 
for every 3 triangles there are 6 squares and for every six squares there is one circle
t3:s6:c1
since there are 108 triangles
108/3=36
since for every 3 triangles there are 6 squares 
six times 36(amount of triangles/3)
6*36+=216
so there are 216 squares
now it says for every six squares there is one circle
therefor (the amount of squares)216/6+= 36 
we are back to 36 and there are 36 circles