Give a real life situation problem, which is mathematically translated into 2x+y+2z=18, x+3y+3z=24, 3y=6 Please explain how this linear system models your problem.

Iris Vaughn

Iris Vaughn

Answered question

2022-10-23

Give a real life situation problem, which is mathematically translated into
2x+y+2z=18,
x+3y+3z=24,
3y=6
Please explain how this linear system models your problem.

Answer & Explanation

relatatt9

relatatt9

Beginner2022-10-24Added 12 answers

You go to the market and buy two apples one orange and two bananas paying R$18 .
Once at home grandpa Ernesto asks you to buy some more fruits so you buy one apple, three oranges and three bananas paying R$24.
Once at home aunt Rosa asks for more oranges for the juice so you go back to the market to get three oranges paying R$6. How much each type of fruit costs?
I invented the symbol of the currency and the names.
independanteng

independanteng

Beginner2022-10-25Added 4 answers

2x+y+2z=18 ...(1)
x+3y+3z=24 ...(2)
3y=6 ...(3)

From 3 we get,
3y=6,y=2

Multiply -2 to both sides of 2 and add to 1 we get,
5y+4z=30
substituting y=2 we get,
z=5

Placing value of y and z to 1 we get,
x=3

Answer: Apple = Rs./$ 3 (per piece)
Oranges = Rs. /$ 2 (per piece)
Bananas = Rs./$ 5 (per piece)

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