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Question 933646: At an awards banquet, the bill for three glasses of milk and five seafood dinners is $38.50, whereas the bill for one glass of milk and two seafood dinners is $15.15.
1. Write a system of two equations to model this problem. Let m stand for the price of a glass of milk and let s stand for the price of a seafood dinner.
2. Use substitution to solve the system of equations.
3. What would be the bill for one glass of milk and one seafood dinner?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At an awards banquet, the bill for three glasses of milk and five seafood dinners is $38.50, whereas the bill for one glass of milk and two seafood dinners is $15.15.
1. Write a system of two equations to model this problem. Let m stand for the price of a glass of milk and let s stand for the price of a seafood dinner.
Value Eq:: 3m + 5s = 38.50
Value Eq:: m + 2s = 15.15
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2. Use substitution to solve the system of equations.
Substitute for "m" and solve for "s"::
3(15.15-2s) + 5s = 38.50
45.45 - 6s + 5s = 38.50
-s = -6.95
seafood dinner cost $6.95
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Solve for "m" using m = 15.15-2(6.95) = $1.25
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3. What would be the bill for one glass of milk and one seafood dinner?
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Cheers,
Stan H.
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