Mr. K, his wife (Mrs. K), and their daughter (Jocelyn) went to Zionsville this past weekend for Jocelyn's first dance competition of the year. The Zionsville band had a concession stand where they were selling slices of pizza for $3 each and Chick-Fil-a sandwiches for $6 each. Drinks were $1.50. After buying each of the 12 dancers either a slice of pizza or a chicken sandwich AND a drink, Mr. K spent $72. How many chicken sandwiches and slices of pizza did Mr. K buy?

Mr K purchased 6 chicken sandwiches and 6 pizza slices.

Step-by-step explanation:

Let Mr. K purchased number of chicken sandwiches = x

and number of pizza slices = y

Since total number of dancers = 12

then the equation will be

x + y = 12 (1)

Mr K. spent total amount = $72

Therefore, equation to purchase x sandwiches, y pizza slices and 12 drinks will be

6x + 3y + 1.5×(12) = 72

6x + 3y + 18 = 72

6x + 3y = 54

2x + y = 18 (2)

We subtract equation (1) from (2)

(2x + y) - (x + y) = 18 - 12

x = 6

from equation (1)

6 + y = 12

y = 6

Therefore, Mr K purchase 6 chicken sandwiches, 6 pizza slices.

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