Question

A fast food chain surveyed a random sample of students to determine what pizza they prefer cheese pizza was preferred by 40 students pepperoni pizza was preferred by 28 students based on the results how many of the 340 students can be expected to prefer cheese pizza?

Answer 1

Answer:

Based on the results 200 of the 340 students can be expected to prefer cheese pizza.

Step-by-step explanation:

Given:

Cheese pizza was preferred by 40 students.

Pepperoni pizza was preferred by 28 students.

Now, based on the results how many students of the 340 can be expected to prefer cheese pizza.

Number of students preferred cheese pizza = 40.

Number of students preferred pepperoni pizza = 28.

Total number of students = 40+28 = 68.

As, 40 out of 68 preferred cheese pizza.

To get the number of the students out of 340 students who preferred cheese pizza based on the results.

Let the students be $x$ who preferred cheese pizza.

So, we set proportion:

40:68 = $x$ : 340.

Now, solving by using cross multiplication method:

$\frac{40}{68} =\frac{x}{340}$

By cross multiplying we get:

$13600=68x$

Dividing both sides by 68 we get:

$200=x\\x=200.$

Therefore, based on the results 200 of the 340 students can be expected to prefer cheese pizza.