Question

A junior high is interested in changing their student to worker ratio In the lunch room in order to move students through the line quicker. during lunch, there are 45 students for every two workers. If there are 215 more students than workers, how many students and workers are in the lunch room?

Answer 1

To find the number of students and workers in the lunch room, set up a system of equations based on the given information. The solution is 10 workers and 225 students.

Step-by-step explanation:

To find the number of students and workers in the lunch room, let's set up a system of equations based on the information provided.

Let x be the number of workers.

The number of students is 215 more than the number of workers, so the number of students is x + 215.

According to the given ratio, there are 45 students for every 2 workers. Therefore:

(x + 215) / x = 45 / 2

Cross multiplying, we get:

2(x + 215) = 45x

Simplifying, we have:

2x + 430 = 45x

Subtracting 2x from both sides, we get:

430 = 43x

Dividing both sides by 43, we find:

x = 10

So there are 10 workers and 10 + 215 = 225 students in the lunch room.

Answer 2

260

Step-by-step explanation:

215 + 45 = 260

Hope this is helpful.