both your equations are correct, but let's reduce your second equation.
$175,000(x)+$200,000(y)=$7,200,000
175,000x + 200,000y = 7,200,000
divide by 1000
175x + 200y = 7200
divide by 25
7x + 8y = 288
now multiply your first equation by 7
7x + 7y = 266
subtract the two equations.
y = 22
back in the first
x + y = 38
x + 22 = 38
x = 16
re your other question, I don't see how I could improve on Quiddich's solution.
(I'm so lost with all this algebra so can someone please help me? I have tried to put some answers in so please tell me if any of my answers are wrong and help with the ones left blank).
2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively. x+y=38
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a. $175,000(x)+$200,000(y)=$7,200,000
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
1 answer