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.
1st; 20x+34y= 504
2nd: 15x+17y=327
b. Which equation can be multiplied by a coefficient to create an opposite coefficient? 2nd is the best choice
What is that value? -2
c. Solve this system for the cost of one dozen roses and the cost of one dozen carnations.
1st: 20x+34y=504
3rd: -30x-34y=-654
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Add 1st and 3rd to get:
-10x = -150
x = 15 (# of dozens of roses)
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Substitute into 20x+34y=504 ot solve for y:
20*15+34y = 504
300 + 34y = 504
34y = 204
y = 6 (# of dozens of carnations)
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