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

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=(T)/(C) \\ \\ r=(2)/(4)`

Divide by
`2` boths numerator and denominator

`r=((2)/(2))/((4)/(2)) \\ \\ r=(1)/(2)`

therefore

the answer is

the ratio of triangles to circles is equal to
`(1)/(2)`

Answer 2

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.