SOLUTION: Translate the problem to a system of equations and solve for costs. Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of on

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Question 381522: Translate the problem to a system of equations and solve for costs.
Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of one sandwich and the cost of one soda?
Found 2 solutions by stanbon, checkley79:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Six sandwiches and five sodas cost $36.95. Five sandwiches and five sodas cost $32.20. What is the cost of one sandwich and the cost of one soda?
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Equations:
6d + 5s = 3695 cents
4d + 5s = 3230 cents
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Subtract and solve for "d":
2d = 465 cents
d = 232.5 cents
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A sandwich costs $2.33
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Substitute and solve for "s":
4(232.5) + 5s = 3230
930 + 5s = 3230
5s = 2300
s = $4.60 (Price of a soda)
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Cheers,
Stan H.

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
6SA+5SO=36.95
5SA+5SO=32.20 SUBTRACT
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SA=$4.75 COST OF 1 SANDWICH.
6*4.75+5SO=36.95
28.50+5SO=36.95
5SO=36.95-28.50
5SO=8.45
SO=8.45/5
SO=$1.69 COST OF 1 SODA.
PROOF:
5*4.75+5*1.69=32.20
23.75+8.45=32.20
32.20=32,20