Question

Challenge In a​ company, 85​% of the workers are women. If 705 people work for the company who​ aren't women​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem. Question content area bottom Part 1 There are enter your response here workers in all. ​(Type a whole​ number.)

Answer 1

To find the total number of workers in the company, we can use two different approaches. Approach 1 involves setting up an equation with the percentage of workers who aren't women and solving for the total number of workers. Approach 2 uses proportions to find the total number of workers. Both methods yield the same result of 4,700 workers in total.

Step-by-step explanation:

To solve this problem, we can use two different approaches. Approach 1: Since 85% of the workers are women, the remaining 15% of workers are not women. So, if 705 people work for the company who aren't women, we can set up the equation: 15% of the total number of workers = 705. Let x be the total number of workers. Using the equation, we can solve for x:

0.15x = 705

x = 705 / 0.15

x = 4700

Therefore, there are 4,700 workers in total. Approach 2: We can also solve this problem using proportions. Let x be the total number of workers. We can set up the proportion: 15% (not women) / 85% (women) = 705 / x. We can cross-multiply and solve for x:

(15/85)x = 705

x = (705 * 85) / 15

x = 4700

Again, we find that there are 4,700 workers in total.