a)The sales representative 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.
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.
c)Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
what is denote?? once again I'm sorry but I am confused when it comes to word problems and weak at inequalities can someone help guide me on these questions, or explain how to do these?
a) x + y = 38 This equation deals with the number of homes
b) now we use the value of the homes :
175000x + 200000y = 7200000
shrink it by dividing by 1000
175x + 200y = 7200
reduce it even more
7x + 8y = 288
c) now multiply the first equation by 7 and subtract it from the one in b)
7x + 8y = 288
7x + 7y = 266
y = 22
then x = 16
check: is 16+22 = 38 ? yup
is 175000(16) + 200000(22) = 7200000 ? yup