3. A catering service paid $520 for 10 center pieces and 60 glasses. The guest list grew, requiring an additional 2 centerpieces and 36 glasses at a cost of $152. Follow the steps outlined below in order to 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 glass b. Fill in the table.
First Bill- cost of centerpieces-cost of glasses-total cost Second Bill-cost of centerpieces-cost of glasses-total cost
c. Write a system of equations to represent both orders. 10x+60y=520. 2x+30y=152
d. Solve the system using any preferred method.
e. Interpret your answer to part d using a complete sentence.
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. (Attached)
