Question

In simplest form, what is the ratio of triangles to circles?

A set of shapes is arranged as follows: triangle, circle, square, circle, circle, square, triangle, circle.

Answer 1

There are 3 shapes present.

Triangle - 2
Circle - 4
Square - 2

Ratio of triangles to cirles: 2 triangles to 4 circles ⇒ 2/4 
2/4 simplified to 1/2.

Answer 2

Let

T-------> number of triangles in the data set

C-------> number of circles in the data set

S-------> number of squares in the data set

N------> number of total elements in the data set

we have

$Set=(triangle, circle, square, circle, circle, square, triangle, circle)$

we know that

$T=2\\ C=4\\ S=2\\ N=8$

The ratio of triangles to circles is equal to

$r=\frac{T}{C} \\ \\ r=\frac{2}{4}$

Divide by $2$ boths numerator and denominator

$r=\frac{\frac{2}{2}}{\frac{4}{2}} \\ \\ r=\frac{1}{2}$

therefore

the answer is

the ratio of triangles to circles is equal to $\frac{1}{2}$