SOLUTION: I am having difficulty writing a linear system for a word problem about hot sauce. The Recipe to make Red Hot Sauce: (Yeild: 1 pint) 1pt tomato sauce 5 green peppers 4 hot c

Question 72146: I am having difficulty writing a linear system for a word problem about hot sauce.
The Recipe to make Red Hot Sauce:
(Yeild: 1 pint)
1pt tomato sauce
5 green peppers
4 hot chilli peppers
The Problem:
"To fill an order for Sizzlin' Sauce, you bought 1050 green peppers and 1200 hot chilli peppers. Write a system of inequalities to represent the number of pints of each kind of sauce you can make."
I am confused as to where to put the tomato sauce in the equations, and where I should put the variables.
So far, I have figured out that there will be two equations in the system.
The first will be the recipe and the second will be the peppers bought.
I was thinking like this:
{5x + 4y >or= 1
{1050x + 1200y >or= z
but, I think there might be too many variables and also the tomato sauce is not included. How should I set up my system?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Problem:
"To fill an order for Sizzlin' Sauce, you bought 1050 green peppers and 1200 hot chilli peppers. Write a system of inequalities to represent the number of pints of each kind of sauce you can make."
------
The Recipe to make Red Hot Sauce:
(Yeild: 1 pint)
1pt tomato sauce
5 green peppers
4 hot chilli peppers
-------
there's one more recipe,
{yield: 1 pint}
1pt tomato sauce
4 green peppers
8 hot chilli peppers
The Problem:
"To fill an order for Sizzlin' Sauce, you bought 1050 green peppers and 1200 hot chilli peppers. Write a system of inequalities to represent the number of pints of each kind of sauce you can make."
--------
Let number of pints of Red Hot be "x"
Let number of pints of "Other" by "y"

and those are the two
I tried it like this:
{5x +4y {4x + 8y That is correct.
-----------
Cheers,
Stan H.

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