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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

Group	Number of objects
A	$375$ $375$
B	$54$ $54$
C	$690$ $690$
D	$81$ $81$
Total	$1,200$ $1,200$

The table summarizes the number of objects in each group.

The number of objects in group C is $p %$ of the number of objects in group A. What is the value of $p$ ?

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Explanation

The correct answer is $184$ . It's given in the table that there are $375$ objects in group A and $690$ objects in group C. It’s also given that the number of objects in group C is $p %$ of the number of objects in group A. Therefore, $690$ is $p %$ of $375$ , which can be represented by $690 = (\frac{p}{100}) (375)$ , or $690 equals 3.75 p$ . Dividing both sides of this equation by $3.75$ yields $184 equals p$ . Therefore, the value of $p$ is $184$ .