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PLEASE help me due ASAP

the price of 11 citrons and 4 fragrant wood apples is 127 units. The price kf 4 citrons and 11 fragrant wood apples is 113 units. find the price of a citron and the price of a wood apple.
2.a waitress sold 17 ribeye steak dinners and 10 grilled salmon dinners, totaling $580.22 on a particular day. Another day she sold 21 ribeye steak dinners and 5 grilled salmon dinners, totaling $582.19 how much did each type of dinner cost.

Respuesta :

rorycampbell0721

Answer:

Citron: 9 units

Wood apple: 7 units

Step-by-step explanation:

set up a system of equations:

let c be the number of citrons

let a be the number of fragrant wood apples

[tex]11c + 4a = 127\\4c + 11a = 113[/tex]

multiply both sides of the first equation by 4

[tex]44c+16a=508[/tex]

multiply both sides of the second equation by 11

[tex]44c + 121a=1243[/tex]

Subtract the two equations:

[tex]105a = 735\\a = 7[/tex]

Plug this into one of the original equations:

[tex]11c + 28 = 127\\11c = 99\\c = 9[/tex]

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