Question

For every 500 calculators produced by company XYZ, 3 have a defect. If company XYZ produced 400,000 calculators in a month, how many defective calculators will they produce in a year?

A) 2,400
B) 8,600
C) 15,400
D) 28,800
E) 94,200

Answer 1

For every 500 calculators produced by company XYZ, 3 are defective. If they produce 400,000 calculators monthly, they will have 2,400 defects per month, leading to 28,800 defective calculators annually. The correct answer is D) 28,800.

Step-by-step explanation:

To determine how many defective calculators company XYZ will produce in a year, we need to calculate the monthly defect rate and then multiply by 12 to get the annual number. According to the given information, for every 500 calculators produced, there are 3 defects. If the company produces 400,000 calculators in a month, we use a proportion to find the monthly number of defects:

1. First, find the defect rate per calculator: 3 defects / 500 calculators.
2. Next, calculate the monthly defects: (3 / 500) * 400,000 calculators = 2,400 defects per month.
3. Finally, to find the yearly total, multiply the monthly defects by 12 months: 2,400 defects * 12 months = 28,800 defects per year.

Therefore, the answer is D) 28,800 defective calculators produced in a year.