Kialani sells orchid and lily plants at the farmers' market. each plant sells for a different price. 8 orchid and 12 lily plants sell for $362. 12 orchid and 8 lily plants sell for $388. how much does kialani charge for the lily plant?

The price of lily plant is $15.5

Let the price of each orchid plant be x.

And the price of each lily plant be y.

If 8 orchid and 12 lily plants sold out for the price of $362.12. The equation will be,

8x + 12y = 362 ......................................................(1)

And if 12 orchid and 8 lily plants sold out for the price of $388. Then, equation will be,

12x + 8y =388 .......................................................(2)

Solve equation (1) and (2) by elimination method. According to elimination method, we need to make the coefficient of a variable same for both equations and subtract/add them to eliminate.

Solve the above equations to obtain the value of y as,

Thus, we can conclude that the price of lily plant is $15.5.

Learn more about the system of linear equation here,

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Kialani is being charge for $ 15.5 for the lily plant.

Step-by-step explanation: Let us assume Price of each orchid plant = $x.

And price for each lily plant = $y.

"8 orchid and 12 lily plants sell for $362".

Therefore,

8x +12y = 362                (1).

"12 orchid and 8 lily plants sell for $388."

Therefore,

12x+8y = 388                  (2)

Now, let us solve the system of equations by elimination method.

According to elimination method, we need to make the coefficient of a variable same for both equations and subtract/add them to eliminate.

So, multiplying first equation by 12 and multiplying second equation by -8 and adding, we get

-12*(8x +12y = 362)  =>  96x +144y =4344

   8(12x+8y = 388)    =>  -96x -64y = -3104

                                                    80y  = 1240

Dividing both sides by 80, we get

80y/80  = 1240/80

y = 15.5.