A waitress sold 20 ribeye steak dinners and 12 grilled salmon​ dinners, totaling ​$559.11 on a particular day. Another day she sold 29 ribeye steak dinners and 6 grilled salmon​ dinners, totaling ​$583.72 How much did each type of dinner​ cost?

Answer:

Explanation:

Create two equations showing the amount sold and earned each day:

[tex]\left \{ {{20x+12y=559.11} \atop {29x+6y=583.72}} \right.[/tex]

Solve the system of equations:

[tex]\left \{ {{20x+12y=559.11} \atop {29x+6y=583.72}} \right.\\\\=\left \{ {{20x+12y=559.11} \atop {29(2)x+6(2)y=583.72(2)}} \right.\\\\=\left \{ {{20x+12y=559.11} \atop {58x+12y=1167.44}} \right.\\\\(20-58)x+(12-12)y=559.11-1167.44\\\\-38x=-608.33\\\\x=\frac{-608.33}{-38} =16.01\\\\20x+12y=559.11\\20(16.01)+12y=559.11\\12y=559.11-20(16.01)\\12y=238.91\\y=19.91[/tex]

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1. Country
Female
Male
India
64
62
Norway
82
77
Bolivia
66
62
Ghana
59
58
Austria
82
76
South Africa
56
51
United Kingdom
81
76
Myanmar
63
57
China
74
70
Panama
77
72
2.
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TRUE OR FALSE
The law of demand says that as the income of the consumer changes the demand will change in direct proportion to the income change.

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