State two equations clearly & define the two variables used

Question

Write a system of two equations, using two different variables:[Do not solve] A hamburger costs twice as much as French Fries. Two hamburgers and three orders of french fries cost $4.20.(State the two equations clearly;define the two variables used.)

Answer 1

Alright, lets look at this one statement at a time, but first, lets define a couple of variables.  Let's define the following:

h = price of a hamburger

f = price of fries

 

Onto the first statement:

 

#1 -- A hamburger costs twice as much as French Fries.

From this, we can see that:

h = 2f

 

#2 -- Two hamburgers and three orders of french fries cost $4.20

From this, we get the equation:

2h + 3f = 4.2

 

So all together, here are your defined variables and both equations:

 

 

h = price of a hamburger
f = price of fries
h = 2f

2h + 3f = 4.2

 

I hope this helps!