Use the image to answer the 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.

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1 answer

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

From your description:

  • There are two rows of 5 insects, which totals 10 shaded insects.
  • Additionally, there are 2 more insects with a different shading.

Now we can calculate the total number of bugs: Total bugs = 10 (shaded) + 2 (differently shaded) = 12 bugs.

Since it is mentioned to identify the ratio of plain blue bugs to the total number of bugs, we need to determine how many of the total are plain blue.

Assuming the 2 insects with a different shading are not plain blue, that leaves all 10 shaded insects as possibly plain blue. However, without specific information on which ones are plainly blue, we might assume all of them are plain blue for the purpose of this question.

So, if we assume all 10 shaded insects are plain blue, the ratio of plain blue bugs to total bugs would be: Plain blue bugs: 10 Total bugs: 12

Thus, the ratio is \( \frac{10}{12} \), which can be simplified to \( \frac{5}{6} \).

So, the final answer for the ratio of plain blue bugs to the total number of bugs is 5:6.

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