Question

An illustration shows insects, all the same size, shaded in two patterns. The first group of shaded insects is shown in two rows, with each row containing 5 insects. Next to these are two insects with a different shading than the first group.
Identify the ratio of plain blue bugs to the total number of bugs.

(1 point)
Remaining Attempts : 2View previous attempt
Skip to navigation

Answer 1

To determine the ratio of plain blue bugs to the total number of bugs, we first need to calculate the total number of bugs.

From your description:
- The first group has 2 rows with 5 insects each. So, there are \(2 \times 5 = 10\) shaded insects in the first group.
- Then, there are 2 additional insects with a different shading.

Now, adding these together, the total number of insects (both shaded and plain blue) is:
\[
10 \text{ (shaded insects)} + 2 \text{ (different shaded insects)} = 12 \text{ total insects}
\]

Assuming the plain blue bugs are represented in the two shaded patterns, and that you intended for the 2 different shaded insects to be the plain blue bugs. This indicates we have:
- 2 plain blue bugs.

Now, the ratio of plain blue bugs to the total number of bugs is calculated as:
\[
\text{Ratio} = \frac{\text{Number of plain blue bugs}}{\text{Total number of bugs}} = \frac{2}{12}
\]

Simplifying this ratio gives:
\[
\frac{2}{12} = \frac{1}{6}
\]

Thus, the ratio of plain blue bugs to the total number of bugs is \( \frac{1}{6} \).