The ratio of computers to students is a fixed number at Middleton Middle School. The table shows the number of computers for 260 students.

Middleton Middle School
Number of Students Number of Computers
260 39
? 45

What is the number of students when the number of computers is 45?
Responses

A 35

B 96

C 300

D 138

1 answer

To find the number of students when the number of computers is 45, we first need to establish the ratio of computers to students based on the information provided in the table.

From the table:

  • When there are 260 students, there are 39 computers.

This can be expressed as a ratio: \[ \frac{\text{Number of Computers}}{\text{Number of Students}} = \frac{39}{260} \]

Now we simplify this ratio: \[ \frac{39}{260} = \frac{39 \div 39}{260 \div 39} = \frac{1}{6.6667} \approx \frac{1}{6.67} \]

For every 39 computers, we have 260 students. To find the number of students \( x \) when there are 45 computers, we can set up a proportion:

\[ \frac{39}{260} = \frac{45}{x} \]

Next, we cross multiply to solve for \( x \): \[ 39x = 45 \times 260 \] \[ 39x = 11700 \] \[ x = \frac{11700}{39} \] \[ x = 300 \]

Thus, the number of students when the number of computers is 45 is \( 300 \).

The correct answer is C 300.