Question

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.

Answer 1

Citron: 9 units

Wood apple: 7 units

Explanation:

set up a system of equations:

let c be the number of citrons

let a be the number of fragrant wood apples

`11c + 4a = 127\\4c + 11a = 113`

multiply both sides of the first equation by 4

`44c+16a=508`

multiply both sides of the second equation by 11

`44c + 121a=1243`

Subtract the two equations:

`105a = 735\\a = 7`

Plug this into one of the original equations:

`11c + 28 = 127\\11c = 99\\c = 9`