SOLUTION: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of

Question 948229: At the fair, you buy 3 sausage sandwiches and a milkshake and it costs you $8.25. Your friend buys 1 sausage sandwich and 2 milkshakes and her total is $5.25. What is the cost of one sandwich and one milkshake?

A. Write a system of equations for this situation.

B. Solve your system using either elimination or substitution. Make sure to show your work for full credit.
Answer by amarjeeth123(570) (Show Source): You can put this solution on YOUR website!
Let the cost of one sausage sandwich be x.
Let the cost of one milkshake be y
We get,
3x+y=8.25......equation 1
x+2y=5.25......equation 2
Multiplying equation 1 by 2 we get,
6x+2y=16.5.....equation 3
Subtracting equation 2 from 3 we get,
5x=11.25
x=2.25
y=8.25-6.75=1.5
The cost of one sausage sandwich is $2.25 and the cost of one milkshake is $1.5.
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