Question

You are paid a commission plus $5.40 per hour with time and a half over time for all hours over 8 per day. Your commission consists of 4 percent of the the first $3,000 in sales and 5 percent on all sales over $3,000. Find your gross pay for a week in which you worked 9 hours on Monday, 8 hours on Tuesday, 11 hours on Wednesday, 9 hours on Thursday, 10 hours on Friday, and 8 hours on Satruday. Your total sales for the week were $4,115.

Answer 1

Your gross pay for the week was $491.65.

Since you are paid a commission plus $5.40 per hour with time and a half over time for all hours over 8 per day, and your commission consists of 4 percent of the first $ 3,000 in sales and 5 percent on all sales over $ 3,000, for find your gross pay for a week in which you worked 9 hours on Monday, 8 hours on Tuesday, 11 hours on Wednesday, 9 hours on Thursday, 10 hours on Friday, and 8 hours on Saturday, and your total sales for the week were $ 4,115, the following calculation must be performed, posing the following linear equation:

• (8 x 6 x 5.4) + (5.4 x 1.5 x (1 + 0 + 3 + 1 + 2)) + (3000 x 0.04) + ((4115 - 3000) x 0.05) = X
• (48 x 5.4) + (5.4 x 1.5 x 7) + 120 + (1115 x 0.05) = X
• 259.2 + (8.1 x 7) + 120 + 55.75 = X
• 259.2 + 56.7 + 175.75 = X
• 491.65 = X

Therefore, your gross pay for the week was $491.65.

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