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9 March, 23:55

A waitress sold 12 ribeye steak dinners and 30 grilled salmon dinners, totaling $557.59 on a particular day. Another day she sold 21 ribeye steak dinners and 10 grilled salmon dinners, totaling $582.75. How much did each type of dinner cost?

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  1. 10 March, 00:51
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    Ribeye steak dinner is sold at approximately $23.35 each and grilled salmon dinner costs approximately $9.25 each

    Step-by-step explanation:

    say ribeye steak dinner is r and grilled salmon dinner is g, we can say

    12r + 30g = $557.59 ... eqn 1

    21r + 10g = $582.75 ... eqn 2

    Multiply eqn 1 by 10 and eqn 2 by 30, so as to eliminate g while solving for r

    Then we will have

    120r + 300g = $5575.9 ... eqn 3

    630r + 300g = $17482.5 ... eqn 4

    Subtract eqn 3 from 4 and we will have

    510r = $11906.6

    Divide both sides by 510 and we will have

    r ≈ $23.35

    Substitute $23.35 for r in eqn 1 and we will have

    12 (23.35) + 30g = 557.59

    280.2 + 30g = 557.59

    30g = 557.59 - 280.2

    30g = 277.39

    dividing both sides by 30

    g ≈ $9.25
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