A recent survey of college students on a big campus was...

A recent survey of college students on a big campus was conducted to find students' preferred method of getting to class. The results showed that $35 \%$ of students walk to class, $20 \%$ take the bus, $25 \%$ ride a bike, and $15 \%$ drive; the remaining students rollerblade to class. If each student preferred only 1 method of getting to class and 75 students preferred rollerblading, how many students were surveyed? A. 900 B. 1,250 C. 1,500 D. 1,800 E. 2,225

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Key Concepts

Linear Equation Solving

This is the process of forming and solving equations that model real-world situations. In problems involving percentages, a linear equation is set up by equating a percentage of an unknown total to a known value, which can then be solved to find that total.

Percentage

This concept involves expressing a part of a whole by converting it into a number out of one hundred. In problem-solving, percentages allow us to describe proportions and make comparisons between different parts of a data set.

Complementary Percentage

In percentage problems, complementary percentages refer to the portion of the whole that remains when the known percentages are subtracted from 100. It is useful for finding missing parts when the complete total must account for all percentages.

Proportional Reasoning

Proportional reasoning involves understanding the relationship between quantities when one quantity changes in direct proportion to another. It is key when solving problems where parts of a whole are related by a constant ratio, such as percentages of a total number.

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