A pattern has 10 blue triangles to every 70 yellow triangles. What is

the ratio of blue triangles to all triangles?

1 answer

To find the ratio of blue triangles to all triangles, first we need to determine the total number of triangles by adding the blue and yellow triangles together.

We have:

  • 10 blue triangles
  • 70 yellow triangles

Now, we calculate the total number of triangles: \[ \text{Total triangles} = \text{Blue triangles} + \text{Yellow triangles} = 10 + 70 = 80 \]

Next, we can find the ratio of blue triangles to all triangles: \[ \text{Ratio of blue triangles to all triangles} = \frac{\text{Blue triangles}}{\text{Total triangles}} = \frac{10}{80} \]

We can simplify this ratio: \[ \frac{10}{80} = \frac{1}{8} \]

So, the ratio of blue triangles to all triangles is \(\frac{1}{8}\).