a) The sales representative informs you that there are two floor plans still available, and that there are a total of 72 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation. Explain

x+y=72

The next question is:

The sales representative later indicates that there are 2 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a. Explain your reasoning.

Would this one be
x+2y=72?

No.

y=2x

Oh! I get it now! Thank you so much!

Sure! To write an equation that illustrates the situation, we need to consider the information provided.

We know that there are two floor plans still available, so let's use x to represent the number of houses of floor plan #1 that are available and y to represent the number of houses of floor plan #2 that are available.

Based on the information provided, we also know that there are a total of 72 houses available. So, the sum of the number of houses of floor plan #1 and floor plan #2 should be equal to 72.

Using this information, we can write the equation as:
x + y = 72

This equation represents the situation where the sum of the available houses of both floor plans is equal to the total number of available houses.