Mathematics, 29.06.2019 06:00 AmityHeart

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?

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Answer from: makwoods417ow2txa

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.

$12(8x+12y =362.12)\\8(12x+8y=388)\\\\96x+144y = 4344\\96x+64y=3104$

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

$96x+144y-4344 = 96x+64y-3104\\80y=1240\\y=15.5$

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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Answer from: Beltrand504

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.

Answer from: Quest

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation:

Answer from: Quest

the answer is c)8

step-by-step explanaction:

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