Question

find the ratio of circles to total shapes in the diagram below. unsimplified ratio of circles to total shapes:

Explanation:

Step1: Count number of circles

There are 4 rows of 4 circles each, so the number of circles is $4\times4 = 16$.

Step2: Count number of triangles

There are 4 rows of 5 triangles each, so the number of triangles is $4\times5=20$.

Step3: Calculate total number of shapes

Total shapes = number of circles+number of triangles, so $16 + 20=36$.

Step4: Find ratio of circles to total shapes

The ratio of circles to total shapes is $16:36$.

Answer:

$16:36$