Solve the problem.A school library has $27,000 to spend on new books among the four categories of biology, chemistry, physics, and mathematics. If the amount spent on biology books is to be the same as the amount spent on chemistry books and if the amount spent on mathematics books is to be the same as the total spent on chemistry and physics books, how can the money be distributed among the four types of books? (Let x denote the amount spent on biology books, y the amount spent on chemistry books, z the amount spent on physics books, and w the amount spent on mathematics books. Let all amounts be in dollars, and let w be the parameter.)

A. x = 27,000 + w, y = 27,000 + w, z = w - 27,000, 
B. x = 27,000 - 3w, y = 27,000 - 3w, z = 4w - 27,000, 
C. x = 27,000 - w, y = 27,000 - w, z = 2w - 27,000, 
D. x = 27,000 - 2w, y = 27,000 - 2w, z = 3w - 27,000, 


Answer: D

Mathematics

You might also like to view...

Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x3 + 2x2 - 16x - 32

A. (x + 2)(x + 4)(x - 6) ; -2, -4, 6 B. (x + 2)(x + 4)(x - 4) ; 2, 4, -4 C. (x - 2)(x - 4)(x + 4) ; -2, -4, 4 D. (x + 2)(x + 4)(x - 4) ; -2, -4, 4

Mathematics

Use an analytic method to solve the equation.5x-2 - 23x-1 - 10 = 0

A.  
B.  
C.
D.

Mathematics

Find an equation of variation in which y varies inversely as x and the following is true.y = 5.25, when x = 0.56

A. y = 
B. y = 
C. y = 
D. y = 9.38x

Mathematics

Write the decimal as a fraction or mixed number in simplest form.10.8

A. 10
B. 1
C. 10
D.

Mathematics