Question

question 6 of 10
worker a earns $8.10 per widget produced, produces 10 widgets per day, and works 9 hours per day. worker b earns $8.40 per widget produced, produces 8 widgets per day, and works 7 hours per day. which of these statements is true?

a. worker a earns more per day than worker b and more per hour than worker b.

b. worker b earns more per day than worker a and more per hour than worker a.

c. worker a earns more per day than worker b but less per hour than worker b.

d. worker b earns more per day than worker a but less per hour than worker a.

Explanation:

Step1: Calculate daily earnings for Worker A

Worker A earns $8.10 per widget and produces 10 widgets per day. So daily earnings for A: $8.10×10 = $81.

Step2: Calculate daily earnings for Worker B

Worker B earns $8.40 per widget and produces 8 widgets per day. So daily earnings for B: $8.40×8 = $67.2.
Since $81 > $67.2, Worker A earns more per day.

Step3: Calculate hourly earnings for Worker A

Worker A works 9 hours per day. Hourly earnings: $81÷9 = $9 per hour.

Step4: Calculate hourly earnings for Worker B

Worker B works 7 hours per day. Hourly earnings: $67.2÷7 = $9.6 per hour.
Since $9 < $9.6, Worker A earns less per hour than Worker B.

Answer:

C. Worker A earns more per day than worker B but less per hour than worker B.