Question

Give a real life situation problem which is mathematically translated into `2x+y+2z=18`?

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

Answer 1

I tried this...

Explanation:

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.

Answer 2

(In addition to solution and hint by Gió)
Apple = Rs./$ 3 (per piece)
Oranges = Rs. /$ 2 (per piece)
Bananas = Rs./$ 5 (per piece)

Explanation:

`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`