Question

Osmin had a gross pay of 624.86 last week. She earns 12.85 per hour plus a 3% commission on all sales. She knows she worked 40hrs last week but can't remember her total sales. What were her total sales ?

Answer 1

Her total sales was $3695.33

Step-by-step explanation:

Osmin had a gross pay of $624.86 last week

• She earns $12.85 per hour
• She earns 3% commission on all sales
• She knows she worked 40 hrs last week

She wants to know what was her total sales

Assume that her total sales is $x

∵ Her gross pay = $624.86

∵ She earns 12.85 per hour plus a 3% commission on all sales

∵ She worked for 40 hrs last week

∵ Her total sales was $x

- Put all of these in an equation represents her gross pay

∵ Her gross pay = her rate per hour × the number of hours + 3% of x

∴ 624.86 = 12.85 (40) + 3% (x)

∴ 624.86 = 514 + $\frac{3}{100}$ x

∴ 624.86 = 514 + 0.03 x

- Subtract 514 from both sides

∴ 110.86 = 0.03 x

- Divide both sides by 0.03

∴ 3695.33 = x

∴ Her total sales = $3695.33

Her total sales was $3695.33

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