SOLUTION: A restaurant serves a vegetarian and a chicken lunch special every day. On Thursday the restaurant collected $544 selling 32 vegetarian specials and 40 chicken specials

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Question 879045: A restaurant serves a vegetarian and a chicken lunch special every day.
On Thursday the restaurant collected $544 selling 32 vegetarian specials and 40 chicken specials
On friday the restaurant collected $484 selling 28 vegetarian and 36 chicken specials
Write equations to represent this situation and then determine the coast of each lunch special
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost of a vegetarian special in dollars
Let +b+ = cost of a chicken special in dollars
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(1) +32a+%2B+40b+=+544+
(2) +28a+%2B+36b+=+484+
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Multiply both sides of (1) by +28%2F32+
(1 )+%2828%2F32%29%2A32a+%2B+%2828%2F32%29%2A40b+=+%2828%2F32%29%2A544+
(1) +%287%2F8%29%2A32a+%2B+%287%2F8%29%2A40b+=+%287%2F8%29%2A544+
(1) +28a+%2B+35b+=+476+
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Subtract (1) from (2)
(2) +28a+%2B+36b+=+484+
(1) +-28a+-+35b+=+-476+
+b+=+8+
and, since
(1) +32a+%2B+40%2A8+=+544+
(1) +32a+%2B+320+=+544+
(1) +32a+=+224+
(1) +a+=+7+
The vegetarian special costs $7 each
The chicken special costs $8 each