Question 3 (6 marks)
Emma and Brad work as real estate agents. Emma is paid a commission of but Brad is paid per week plas 0.25 commiasion.
a. How much does Emma earn for a week if she sells a house for in that week?
b. How much does Brad earn for a week if he sells a house for in that week?
c. In another week, Brad earns , Assuming he sells one house that week, what was the sale price of the house?
d. For Emma to earn in a week, what is the price of the house she would need to sell?

Ask by Medina Kelley. in Australia

Mar 30,2025

Question

Question 3 (6 marks)
Emma and Brad work as real estate agents. Emma is paid a commission of but Brad is paid per week plas 0.25 commiasion.
a. How much does Emma earn for a week if she sells a house for in that week?
b. How much does Brad earn for a week if he sells a house for in that week?
c. In another week, Brad earns , Assuming he sells one house that week, what was the sale price of the house?
d. For Emma to earn in a week, what is the price of the house she would need to sell?

Ask by Medina Kelley. in Australia

Mar 30,2025

UpStudy AI · Accepted Answer

**a. Emma’s earnings when selling a \$500,000 house:**

Emma’s commission rate is $$0.35\%$$, which is equivalent to $$0.0035$$ in decimal form. Her earnings are calculated by multiplying the sale price by the commission rate.

$$
\text{Earnings} = 500000 \times 0.0035 = 1750
$$

Thus, Emma earns $$\$1750$$ in that week.

---

**b. Brad’s earnings when selling a \$500,000 house:**

Brad’s earnings consist of a fixed weekly amount of $$\$600$$ plus a commission of $$0.25\%$$. The commission in decimal form is $$0.0025$$.

First, calculate his commission:

$$
\text{Commission} = 500000 \times 0.0025 = 1250
$$

Now, add the fixed amount:

$$
\text{Total earnings} = 600 + 1250 = 1850
$$

Thus, Brad earns $$\$1850$$ in that week.

---

**c. Finding the sale price when Brad earns \$1500:**

Brad's weekly earnings equation is:

$$
\text{Earnings} = 600 + 0.0025 \times \text{Sale price}
$$

We are given that his earnings are $$\$1500$$:

$$
1500 = 600 + 0.0025 \times \text{Sale price}
$$

Subtract $$\$600$$ from both sides to isolate the commission component:

$$
1500 - 600 = 0.0025 \times \text{Sale price}
$$

$$
900 = 0.0025 \times \text{Sale price}
$$

Divide both sides by $$0.0025$$:

$$
\text{Sale price} = \frac{900}{0.0025} = 360000
$$

Thus, the sale price of the house is $$\$360000$$.

---

**d. Finding the sale price for Emma to earn \$1500:**

Emma’s earnings are solely based on a commission rate of $$0.35\%$$ or $$0.0035$$. The equation is:

$$
1500 = 0.0035 \times \text{Sale price}
$$

Divide both sides by $$0.0035$$:

$$
\text{Sale price} = \frac{1500}{0.0035} \approx 428571.43
$$

Thus, for Emma to earn $$\$1500$$, the sale price of the house would need to be approximately $$\$428571.43$$.
**a. Emma earns \$1750 for selling a \$500,000 house.** **b. Brad earns \$1850 for selling a \$500,000 house.** **c. The sale price for Brad to earn \$1500 is \$360,000.** **d. Emma needs to sell a house priced at approximately \$428,571.43 to earn \$1500.**

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