Question

At the Charming Factory, they make 20 chairs per day when 5 workers are on duty. If they need to make 100 chairs in one day, what equation should they use to figure out how many workers to schedule?

Answer 1

They should schedule 25 workers to make 100 chairs in one day.

Explanation:

To figure out how many workers to schedule, you can set up a proportion using the number of chairs made per day and the number of workers. Let "x" represent the number of workers needed.

You know that 5 workers can make 20 chairs per day. To find how many workers are needed to make 100 chairs in one day, you can set up the following proportion:

(Workers) / (Chairs) = (Workers) / (Chairs)

(5 workers) / (20 chairs) = (x workers) / (100 chairs)

Now, you can cross-multiply to find the equation:

5 * 100 = 20 * x

500 = 20x

To solve for "x" (the number of workers needed), divide both sides by 20:

500 / 20 = 20x / 20

x = 25

So, the equation to figure out how many workers to schedule is:

5 workers can make 20 chairs, so you need x workers to make 100 chairs:

5/20 = x/100

Simplifying this equation gives you x = 25 workers. So, they should schedule 25 workers to make 100 chairs in one day.