Mrs. Massey 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. Newport Florist charges $9 for each smaller arrangement, plus $51 for the large centerpiece. Layla's Flowers, in contrast, charges $27 for the large centerpiece and $10 per arrangement for the rest. If Mrs. Massey orders a certain number of small arrangements, the cost will be the same at either flower shop. What would the total cost be? How many small arrangements would that be?
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Mrs. Massey 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. Newport Florist charges $9 for each smaller arrangement, plus $51 for the large centerpiece. Layla's Flowers, in contrast, charges $27 for the large centerpiece and $10 per arrangement for the rest. If Mrs. Massey orders a certain number of small arrangements, the cost will be the same at either flower shop. What would the total cost be? How many small arrangements would that be?
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