There are 38 houses in a new community available with two floor plans. Floor plan x sells for $175,000 and Floor plan y sells for $200,000. The total worth of all available homes are $7,200,000. Write an equation that illustrates this situation.

Part A: x+y=38
Part B: 175,000x + 200,000y=$7,200,00.
Is this correct?
Need to also use elimination to determine how many houses are available with floor plan x and floor plan y? Explain how the answer was arrived.

Part C is just as it says using elimination to get the right answer.

I found it faster if you just use the first numbers exp 175*2=350 so, 7200-350=6850 well you know that 200 will not go into 6850 evening so you keep going 175*3=525 7200-525=6675 200 will still not go into 6675 evening. Keep going untill you find a number 200 will go into and then see how many times untill you get numbers that =38

Yes, Part A: x + y = 38 and Part B: 175,000x + 200,000y = $7,200,000 are the correct equations to illustrate this situation.

To use elimination to determine how many houses are available with floor plans x and y, we can solve the system of equations.

First, let's eliminate one of the variables from the equations by multiplying one or both of the equations by a constant. In this case, let's multiply Part A by 175,000 to make the coefficients of x in both equations the same:

(175,000)x + (175,000)y = 38 * 175,000
175,000x + 200,000y = $7,200,000

Now, subtract the first equation from the second equation to eliminate x:

(175,000x + 200,000y) - (175,000x + 175,000y) = $7,200,000 - 38 * 175,000

Simplifying this equation gives us:

25,000y = $480,000

To solve for y, we divide both sides of the equation by 25,000:

y = $480,000 / 25,000

y = 19.2

Since the number of houses cannot be a decimal, we can round down to the nearest whole number, which gives us y = 19.

Now that we have the value of y, we can substitute it back into Part A to find x:

x + 19 = 38
x = 38 - 19
x = 19

Therefore, there are 19 houses available with floor plan x and 19 houses available with floor plan y in the community.