At a lunch buffet, the price for an adult plate is $19, and the price for a child plate is $8. On Tuesday, a total of 32 plates were served, and the restaurant collected a total of $487 during the buffet. How many adult plates and child plates were sold?

Step-by-step explanation:

Number of children = c

Number of adults = a

Total number of adults & children = 32

c + a = 32  (I)

Total amount = $ 487

Cost of child plate = $8

Cost of c child plates = 8c

Cost of an adult plate = $19

Cost of a adult plate = 19a

8c + 19a = 487 (II)

Multiply equation (I) by (-8)

(I)* (-8)               -8c - 8a = -256

(II)                       8c  + 19a = 487  {Now add & c will be eliminated}

                                  11a = 231

a = 231/11

a = 21

Plugin the value of a in equation (I)

21 + c = 32

       c = 32 - 21

       c = 11

Number of adult plates = $ 21

Number of child plates = $ 11

answer: what is the conflict?

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