Q:

3. A catering service paid $520 for 10 center pieces and 60 glasses. The guest list grew, requiring anadditional 2 centerpieces and 36 glasses at a cost of $152. Follow the steps outlined below in orderto use a system of equations to find the cost of each centerpiece and each glass.a. Name your variables.Let x = the cost of a single centerpiece.Let y = the cost of a single glassb. Fill in the table.First Bill- cost of centerpieces-cost of glasses-total costSecond Bill-cost of centerpieces-cost of glasses-total costc. Write a system of equations to represent both orders.10x+60y=520.2x+30y=152d. Solve the system using any preferred method.e. Interpret your answer to part d using a complete sentence.​

Accepted Solution

A:
Center piece was $40
Glasses were $2
I used the elimination method. I multiplied everything in the equation that represents the second order by five and subtracted it from the first orders equation. I then solved for y and got that each glass was $2. I then plugged the 2 back into the original equation to find that a centerpiece was $40.
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