CPM Homework Help : MC2 Problem 10-33

Write and solve a proportion for the following problem.

In a recent survey for the student council, Dominique found that $150$ students out of a total of $800$ students on campus did not like soda. If half of the student body was going to attend a dance, how many students could she expect would want soda?

Step 1:

If $150$ students dislike soda, how many students like soda?

Step 2:

$800-150=650$
$650$ students out of $800$ like soda. How many students are attending the school dance?

Step 3:

If half of the student body is attending the dance, then: $\frac{800}{2}=400$

$400$ students are attending the school dance. How many of those $400$ students are expected to like soda?

Step 4:

Since $650$ students out of $800$ that like soda, we can set up a proportion to find the expected number of students at the dance that will like soda.

$\frac{650}{800}=\frac{x}{400}$ Solve for $x$ .

Answer:

$x=325$ students