A survey indicated that 3 out of 5 doctors use brand x aspirin. If 2000 doctors were surveyed how many used brand x? please show me how to solve this ?
3/5 = x/2000
Solve for x.
To solve this problem, you can set up a proportion and then solve for the unknown value. Here's how to do it:
Step 1: Write down the given information:
- The survey indicated that 3 out of 5 doctors use Brand X aspirin.
- The total number of doctors surveyed is 2000.
Step 2: Set up the proportion:
Let x represent the number of doctors who use Brand X.
We can set up the proportion: 3/5 = x/2000.
Step 3: Solve for x:
To find the value of x, cross-multiply and then solve for x.
Cross-multiplying, we get 5x = 3 * 2000.
Simplifying further, we have 5x = 6000.
Dividing both sides of the equation by 5, we have x = 6000/5.
Evaluating the expression, we find that x = 1200.
Step 4: Answer the question:
Therefore, out of the 2000 doctors surveyed, 1200 doctors use Brand X aspirin.