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

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> 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      Log On


   

Question 948225: 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3S%2BM=825
2.S%2B2M=525
From eq. 1,
6S%2B2M=1650
Now subtract eq. 2 from this to eliminate M.
6S%2B2M-S-2M=1650-525
5S=1125
S=225
Then,
225%2B2M=525
2M=300
M=150
Milkshakes are $1.50 and sausage sandwiches are $2.25.