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.

2 Answers
Mar 12, 2017

Answer:

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.

Mar 13, 2017

Answer:

(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#