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\( 1.2,5,52 \) Tamara earns her living as a salary plus commission employee. Her annual salary is \( \$ 48,000 \), and she earns \( 4 \% \) commission on all sales she makes. If Tamara wants to make a total of \( \$ 6,000 \) this month, how much in sales does she need to have? a. \( \$ 30,000 \) b. \( \$ 50,000 \) c. \( \$ 100,000 \) d. \( \$ 150,000 \)

Ask by Watson Griffin. in the United States
Mar 11,2025

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Answer

Tamara needs to make \$50,000 in sales to earn a total of \$6,000 this month.

Solution

1. Compute Tamara's monthly salary by dividing her annual salary by 12: \[ \text{Monthly Salary} = \frac{\$48,000}{12} = \$4,000. \] 2. Determine the additional amount she needs from commission to reach her monthly goal of \$6,000: \[ \text{Required Commission} = \$6,000 - \$4,000 = \$2,000. \] 3. Since her commission rate is \(4\%\) (or \(0.04\) in decimal form), we find the required sales \(\text{S}\) by setting up the equation: \[ 0.04 \times S = 2000. \] 4. Solve the equation for \(S\): \[ S = \frac{2000}{0.04} = 50,000. \] 5. Therefore, Tamara needs to have \(\$50,000\) in sales.

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To find out how much in sales Tamara needs to make to achieve her total goal of $6,000 this month, we start with her fixed salary. Since she earns an annual salary of $48,000, we can calculate her monthly salary by dividing that by 12, which is $4,000. Now, if Tamara wants to make $6,000 this month, we take her monthly salary from the total amount she wants: \[\text{Commission needed} = 6,000 - 4,000 = 2,000\] Tamara earns a 4% commission on her sales, represented mathematically as follows: \[\text{Sales} = \frac{\text{Commission}}{\text{Commission Rate}}\] Substituting in the values we have: \[\text{Sales} = \frac{2,000}{0.04} = 50,000\] Therefore, Tamara needs to make $50,000 in sales this month to reach her target of $6,000. So the correct answer is **b. $50,000**.

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