New age Math
posted by Tracy .
A building contractor is planning to build an apartment complex with one, two or three bedroom apartments. Let x,y,z respectively denote the number of apartments of each type to be built. Suppose that the builder will spend a total of $8,277,000, and that the costs for the three types of apartments are $25,000, $35,000, and $54,000 respectively. Then the 'cost equation' for the builder is:
?x + ?y + 54 z =?
Suppose he plans to build a total of 236 apartments, then complete the equation in x, y, and z which describes this:
?x + ?y + z =?
Further suppose that the number of one bedroom apartments must equal the total number of bigger apartments. Then we get the restriction:
x +(?)y +(?)z = 0.
Finally, find the solution to these equations: x =?, y =?, and z =?

New age? this has been standard fare for a hundred years, and millions before you have figured it out. The subject my generation suffered through was candy mixtures.
25x+35y+54z=8277000
x+y+z=236
x+yz=0 (in the sentence, it was stated that x=y+z)
have fun, I am not going to do the solution for you.
Respond to this Question
Similar Questions

Algebra
An office building containing 96,000 square feet of space is to be made into apartments. There will be at most 15 onebedroom units, each with 800 square feet of space. The remaining units, each with 1200 square feet of space, will … 
Ma
A building contractor is planning to build an apartment complex with one, two or three bedroom apartments. Let x,y,z respectively denote the number of apartments of each type to be built. Suppose that the builder will spend a total … 
New Age Math
A building contractor is planning to build an apartment complex with one, two or three bedroom apartments. Let x,y,z respectively denote the number of apartments of each type to be built. Suppose that the builder will spend a total … 
MathEquations
A building contractor is planning to build an apartment complex with one, two or three bedroom apartments. Let x,y,z respectively denote the number of apartments of each type to be built. Suppose that the builder will spend a total … 
Probability & Statistics
You want to rent an unfurnished onebedroom apartment in Boston next year. The mean monthly rent for a random sample of 14 apartments advertised in the local newspaper is $1200. Assume that the standard deviation is $230. Find a 95% … 
Stats
You want to rent an unfurnished onebedroom apartment in Boston next year. The mean monthly rent for a random sample of 14 apartments advertised in the local newspaper is $1200. Assume that the standard deviation is $230. Find a 95% … 
Math
The first floor apartments in Jenna's building are numbered 100 to 110. How many apartments on that floor are a prime number? 
MATH
1. Which is equivalent to this expression? 
survey of economics
College Enrollment and Apartment Prices. Consider a college town where the initial equilibrium price of apartments is $400 and the initial equilibrium quantity is 1,000 apartments. The price elasticity of demand for apartments … 
STATISTIC
You want to rent an unfurnished onebedroom apartment in Dallas next year. The mean monthly rent for a random sample of 11 apartments advertised in the local newspaper is $1050. Assume the monthly rents in Dallas follow a Normal distribution …