A school survey found that 18 out of 24 students prefer pizza to hamburgers. If the school has 300 students, which is the best prediction of the total number of students who prefer pizza?
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To find the best prediction of the total number of students who prefer pizza, we can use proportions.
First, let's find the proportion of students who prefer pizza within the surveyed group. We know that 18 out of 24 students preferred pizza, so we can calculate the proportion as:
Proportion of students who prefer pizza = 18/24
Next, we need to estimate the total number of students who prefer pizza in the school. Since the proportion of students who prefer pizza within the surveyed group should be similar to the proportion in the whole school, we can set up a proportion using the given information.
Proportion of students who prefer pizza in the school = Proportion of students who prefer pizza within the surveyed group
Let's represent the total number of students who prefer pizza in the school by 'x'. Setting up the proportion:
(18/24) = x/300
To solve for x, we can cross-multiply:
18 * 300 = 24 * x
5400 = 24x
Dividing both sides of the equation by 24:
x = 225
Therefore, the best prediction of the total number of students who prefer pizza in the school is 225 students.