A waitress sold 11 ribeye steak dinners and 18 grilled salmon dinners, totaling 592.29 on a particular day. Another day she sold
16 rib eye steak dinners and 6 grilled salmon dinners, totaling 580.56. How much did each type of dinner cost?
1 answer:
Let the cost of 1 ribeye steak dinner = x
The cost of 1 salmon dinner = y
Then,
11x + 18y = 592.29 (1)
16x + 6y = 580.56 (2)
Multiplying the second equation by 3, we get,
48x + 18y = 1741.68 (3)
(3) - (1) gives
37x = 1149.39
x = 31.06
Substituting the value for x in (1), we get,
11(31.06) + 18y = 592.29
341.66 + 18y = 592.29
18y = 250.63
y = 13.92
Hence, the cost of ribeye steak dinner = 31.06 and the cost of grilled salmon dinner = 13.92.
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