A survey of Mrs. Ramirez's students showed that 30
students will have pizza fonlunch, 17 will have macaroni
and cheese, 12 will have a hamburger, and 5 will have
chicken fingers. Suppose Mrs. Ramirez surveys all 1 200
students in the school. How many students can she
expect to choose hamburgers for
Hunch?

Respuesta :

Answer: 480

Step-by-step explanation:

We can create a ratio for this!

We have:

[tex]\frac{number of hamburgers}{total students}[/tex]= [tex]\frac{new number of hamburgers}{new number of students}[/tex]

We can use substitution to input the information we already know:

[tex]\frac{12}{30}[/tex] = [tex]\frac{x}{1200}[/tex]

Using cross multiplication, we get:

1 200(12) = 30x

14,400 = 30x

[tex]\frac{14,400}{30}[/tex]=[tex]\frac{30x}{30}[/tex]

x = 480

Hope this helps! :)

The number of students expect to have hamburgers for lunch is 225 students.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Ramirez's survey on students

Number of students have pizza = 30

Number of students have macaroni and cheese = 17

Number of students have a hamburger = 12

Number of students have chicken fingers = 5

Total number of students = 64.

Now, Mrs. Ramirez surveys all 1 200 students.

Then number of students expect to choose hamburgers for lunch can be found by,

[tex]\frac{Number of students have hamburgers}{Total number of students} = \frac{Number of students expect to have hamburgers}{ Total number of students}[/tex]

Let x be the number of students expect to have hamburgers.

⇒ [tex]\frac{12}{64}=\frac{x}{1200}[/tex]

⇒ [tex]x=\frac{(12)(1200)}{64}[/tex]

⇒ [tex]x=225[/tex]

Hence we can conclude that the number of students expect to have hamburgers for lunch is 225 students.

Learn more about word problems here

brainly.com/question/20594903

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