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 x = cost of one dozen roses



Let y = 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.

A wholesaler is offering two different package deals of roses and carnations to florists.?
20x + 34y = 504

15x + 17y = 327



second, multiply by -2: -30x - 34y = -654



-10x = -150, so x = 15

and 300 + 34y = 504, or 34y = 204, so y = 6