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 3535

B 9696

C 300300

D 138138

1 answer

To find the number of students when the number of computers is 45, we can set up a proportion based on the ratio of computers to students.

Given the information:

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

We can write the ratio of computers to students as: \[ \frac{\text{Number of Computers}}{\text{Number of Students}} = \frac{39}{260} \]

Now, we need to find the number of students (let's call this \( x \)) when the number of computers is 45: \[ \frac{45}{x} \]

Setting these two ratios equal to each other gives us: \[ \frac{39}{260} = \frac{45}{x} \]

Cross-multiplying to solve for \( x \): \[ 39x = 45 \cdot 260 \] \[ 39x = 11700 \] \[ x = \frac{11700}{39} \]

Now, calculating \( \frac{11700}{39} \): \[ x = 300 \]

Thus, the number of students when the number of computers is 45 is 300. Therefore, the answer is:

C 300