I'm trying to set up the problem to this question, but for some reason I am confuse and can't answer this question:
1) During a quality control test, Micronics found that 24 computer boards were defective. This amount was 0.8% of the computer boards tested.
a. How many computer boards were tested?
b. How many computer boards tested were not defective?
Can you please show the steps of how you got the answer to this question?
0.8x = 24
x = ?
I think you can take it from here. We'll be glad to check your answer.
Wouldn't it be 0.8% of what is 24?
Yes. The x stands for "what." Remember when figuring percentages, "of" means multiply.
0.8 times x = 24
Sure! Let's break down the problem and show the steps to find the answers:
a. How many computer boards were tested?
To find the total number of computer boards tested, we can use the information given that 24 computer boards were defective, which is 0.8% of the total.
Step 1: Convert the percentage to a decimal.
0.8% can be written as 0.008 (move the decimal place two spots to the left to convert from percent to decimal).
Step 2: Set up the equation.
Let x be the total number of computer boards tested.
0.008 * x = 24
Step 3: Solve for x.
Divide both sides of the equation by 0.008.
x = 24 / 0.008
x = 3000
Therefore, 3000 computer boards were tested.
b. How many computer boards tested were not defective?
To find the number of computer boards that were not defective, we subtract the number of defective boards from the total number of boards tested.
Step 1: Subtract the number of defective boards from the total.
Total number of boards tested - Number of defective boards
3000 - 24
2976
So, 2976 computer boards tested were not defective.
I hope this helps! Let me know if you have any further questions.