What do the two variables in this system represent?
the two variables represent the number of hot dogs or soft drinks you will get.
Write a system of equations to represent the model.
let s = soft drinks and let h = hot dogs
3s+2h=7.70
2s+h=4.55
What is the cost of 1 soft drink? <u>$1.4</u>
What is the cost of 1 hot dog? <u>$1.75</u>
Solving for the above two questions
<u>solve the second eqaution for h:</u>
2s+h=4.55
subtract 2s
h=4.55-2s
<u>substitute this into the first equation:</u>
3s+2(4.55-2s)=7.70
distribute the 2
3s+9.1-4s=7.70
add like terms
-s+9.1=7.70
subtract 9.1
-s=-1.4
divide by -1
s=1.4
<u>substitute into the equation for h:</u>
h=4.55-2s
h=4.55-2(1.4)
h=4.55-2.8
h=1.75
