Question

a ratio that relates the number of circles to triangles is 5:6
there are 1/2 as many squares as circles
for every 2 circles there is a square
a ratio that relates the number of triangles to squares is 5:3
for parts (a)-(d) fill in the blanks.
a ratio that relates the numbers of triangles to the number of circles is
there are _ squares to _ triangles

Explanation:

Step1: Analyze given ratios

We know ratio of circles to triangles is 5:6, and for every 2 circles there is 1 square.

Step2: Find ratio of triangles to circles

If circles : triangles = 5:6, then triangles : circles = 6:5.

Step3: Find ratio of squares to triangles

Since for every 2 circles there is 1 square and circles : triangles = 5:6. Let number of circles be \(5x\), number of triangles be \(6x\). Number of squares is \(\frac{5x}{2}\). So ratio of squares to triangles is \(\frac{5x}{2}:6x = 5:12\).

Answer:

a. 6:5
b. 5, 12