Mrs. Maynard is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Dayton Florist charges $15 for each smaller arrangement, plus $50 for the large centerpiece. Abby's Flowers, in contrast, charges $40 for the large centerpiece and $20 per arrangement for the rest. If Mrs. Maynard orders a certain number of small arrangements, the cost will be the same at either flower shop. How many small arrangements would that be?
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Write a system of equations, graph them, and type the solution.
Would the linear equations be:
15x+50=y and 20x+40=y?
You can solve for x by setting the two equations equal to each other (since it would cost the same amount). Then you should be able to substitute x back into one of the equations to solve for y.