Question

find the ratio of circles to triangles in the diagram below. ratio of circles to triangles (without simplifying): 9 : 15 answer attempt 1 out of 2 for every 3 circles there are triangles, therefore the simplified ratio of circles to triangles is : .

Explanation:

Step1: Count total circles

There are 3 rows of circles, 3 per row: $3 \times 3 = 9$

Step2: Count total triangles

There are 3 rows of triangles, 5 per row: $3 \times 5 = 15$

Step3: Simplify the ratio

Divide both values by GCD(9,15)=3: $\frac{9}{3} : \frac{15}{3}$

Step4: Find triangles per 3 circles

Since $9 \div 3 = 3$, $15 \div 3 = 5$

Answer:

For every 3 circles there are 5 triangles, therefore the simplified ratio of circles to triangles is $3:5$