Respuesta :
Answer: 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.
Therefore, Kialani is being charge for $ 15.5 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.
[tex]12(8x+12y =362.12)\\8(12x+8y=388)\\\\96x+144y = 4344\\96x+64y=3104[/tex]
Solve the above equations to obtain the value of y as,
[tex]96x+144y-4344 = 96x+64y-3104\\80y=1240\\y=15.5[/tex]
Thus, we can conclude that the price of lily plant is $15.5.
Learn more about the system of linear equation here,
https://brainly.com/question/13911928
