SOLUTION: A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package      Log On


   

Question 25730: A wholesaler is offering two different package deals of roses and carnations to florists. One package contains 20 dozen roses and 34 dozen carnations for $504.00. The other package contains 15 dozen roses and 17 dozen carnations for $327.00.
Let y = cost of one dozen roses
Let x = cost of one dozen carnations
a. Write a system of equations for this problem.

b. Which equation can be multiplied by a coefficient to create an opposite coefficient? What is that value?

c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
20x+34y=504
20x=504-34y
x=25.2-1.7y (subsitution)

15x+17y=327 (subsitute for x)
15(25.2-1.7y)+17y=327
378-25.5y+17y=327
SImplify
-8.5y=-51
y=6
x=25.2-1.7(6)
x=25.2-10.2
x=15

Hence, the roses costs about $6 while the caranition cost about $15.
Paul.