Question

A realtor sold 3 homes during her first month at an average house price of $120,000. During her second month, she sold 7 homes at an average house price of $190,000. What is the overall house price average for both months combined?

Answer 1

$1690000

Step-by-step explanation

A realtor sold 3 homes during her first month.

The average house price was $120,000.

During her second month, she sold 7 homes, at an average house price of $190,000.

We want to find the overall house price.

To do this, we must first state that average is gotten by adding up the data and dividing by the sum of data.

That is:

`\text{Average = }\frac{Sum\text{ of data}}{Number\text{ of data}}`

Therefore, for the first month:

`\begin{gathered} 120000=(Sum)/(3) \\ \text{Cross multiply:} \\ \text{Sum = 120000 }\cdot\text{ 3} \\ \text{Sum = \$360000} \end{gathered}`

The total price of houses in the first month is $360000

For the second month:

`\begin{gathered} 190000=(Sum)/(7) \\ \text{Cross multiply:} \\ \text{Sum = 7 }\cdot\text{ 190000} \\ \text{Sum = \$1330000} \end{gathered}`

The total price of houses in the second month is $1330000

Therefore, the total price of houses in both months is:

Total Sum = $360000 + $1330000

Total Sum = $1690000

The overall house price is $1690000.