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

  1. First group of shaded insects: There are 2 rows with 5 insects in each row, so: \[ 2 \text{ rows} \times 5 \text{ insects per row} = 10 \text{ shaded insects} \]

  2. Other group of insects: There are 2 additional insects that are shaded differently.

Now, we add the total number of insects: \[ 10 \text{ shaded insects} + 2 \text{ differently shaded insects} = 12 \text{ total insects} \]

Next, if we assume that the plain blue bugs are the remaining bugs after considering the shaded ones. Since no specific mention of plain blue bugs is given, we can conclude they are not included in the first groups.

Therefore, the ratio of plain blue bugs to total bugs will depend on how many plain blue bugs we assume there are.

Assuming there are no plain blue bugs visible, or they are not shown in the illustration, the ratio would be: \[ \text{Plain Blue Bugs} = 0 \ \text{Total Bugs} = 12 \]

Hence, the ratio would be: \[ \text{Ratio} = \frac{0}{12} = 0 \]

Please confirm if there are any plain blue bugs mentioned so we can get the exact ratio. Otherwise, under the assumption there are none, the final outcome is a ratio of \(0:12\), or simply \(0\).

To determine the ratio of plain blue bugs to the total number of bugs, let's clarify the components based on your description:

  1. Shaded insects: There are 10 shaded insects (2 rows of 5).
  2. Differently shaded insects: There are 2 differently shaded insects.

Assuming all insects are shown (and no additional information about plain blue bugs), and none of the described insects are plain blue, we can count the total number of insects:

  • Total insects = 10 (shaded) + 2 (differently shaded) = 12 insects.

If there are plain blue bugs, they would need to be specified separately. However, if no plain bugs were mentioned in this context, the assumption is that they might not be included in the count.

To appropriately compute a ratio, let's assume you meant there are plain blue bugs included but not directly stated:

Let’s say:

  • If we define "plain blue bugs" as having a specific number from the total (for example, 2 plain blue bugs), then:

Total insects: 12
Plain blue bugs: 2 (as an example)

The ratio can be calculated as: \[ \text{Ratio} = \frac{\text{Plain blue bugs}}{\text{Total bugs}} = \frac{2}{12} = \frac{1}{6} \]

Without exact numbers of plain blue bugs, I can't provide a precise ratio. If you have the specific number of plain blue bugs, please provide it, and I can adjust the calculation accordingly!

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