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 \(\frac{1}{8}\).