Question

The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.

Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?

- $350,000
- $291,700
- $233,300
- $175,000

## The correct answer is: $291,700

- For solving the above question,

Let *x *be the original price, in dollars, of the Glenview Street property.

- After the 40% discount, the price of the property became 0.6
*x *dollars
- And after the additional 20% off the discounted price, the price of the property became 0.8(0.6
*x*).
- Thus, in terms of the original price of the property,
*x*, the purchase price of the property is 0.48*x*.
- It follows that

0.48*x *= 140,000.

Solving this equation for *x *gives

x = 291,666.6 .

- Therefore, of the given choices, $291,700 best approximates the original price of the Glenview Street property.
- Option A is incorrect because it is the result of dividing the purchase price of the property by 0.4, as though the purchase price were 40% of the original price.
- Option C is incorrect because it is the closest to dividing the purchase price of the property by 0.6, as though the purchase price were 60% of the original price.
- Option D is incorrect because it is the result of dividing the purchase price of the property by 0.8, as though the purchase price were 80% of the original price.

*x*dollars*x*).*x*, the purchase price of the property is 0.48*x*.### Related Questions to study

The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.

The relationship between the monthly rental price *r*, in dollars, and the property’s purchase price *p*, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?

The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations.

The relationship between the monthly rental price *r*, in dollars, and the property’s purchase price *p*, in thousands of dollars, can be represented by a linear function. Which of the following functions represents the relationship?

In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one

of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated

professional activity is research?

In a survey, 607 general surgeons and orthopedic surgeons indicated their major professional activity. The results are summarized in the table above. If one

of the surgeons is selected at random, which of the following is closest to the probability that the selected surgeon is an orthopedic surgeon whose indicated

professional activity is research?

The system of equations above has solution *(x, y). *What is the value of *x *?

The system of equations above has solution *(x, y). *What is the value of *x *?

### In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

### In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?

### Which of the following is equivalent to the sum of the expressions a^{2} - 1 and a + 1 ?

### Which of the following is equivalent to the sum of the expressions a^{2} - 1 and a + 1 ?

### Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?

### Horsepower and watts are units of measure of power. They are directly proportional such that 5 horsepower is equal to 3730 watts. How much power, in watts, is equal to 2 horsepower?

### 2(p + 1) + 8(p - 1) = 5p

What value of *p *is the solution of the equation above?

### 2(p + 1) + 8(p - 1) = 5p

What value of *p *is the solution of the equation above?

In the equation above, if a is negative and b is positive, which of the following must be true?

In the equation above, if a is negative and b is positive, which of the following must be true?

In the equation above, k is a constant. If x = 9, what is the value of K ?

In the equation above, k is a constant. If x = 9, what is the value of K ?

What value of *x *satisfies the equation above?

**Note: **

Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied

What value of *x *satisfies the equation above?

**Note: **

Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied