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Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, how many are expected to attend summer camp?

Question

Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, how many are expected to attend summer camp?

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Solution

Step 1: Identify the proportion of seventh-graders who attend summer camp based on Russell's survey. This is done by dividing the number of students who attend summer camp (6) by the total number of students surveyed (30). So, 6/30 = 0.2 or 20%.

Step 2: Apply this proportion to the total number of seventh-graders in the school to estimate how many are expected to attend summer camp. This is done by multiplying the total number of seventh-graders (200) by the proportion who attend summer camp (0.2). So, 200 * 0.2 = 40.

Therefore, based on Russell's survey, about 40 seventh-graders in his school are expected to attend summer camp.

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