SOLUTION: A loaf of a bread and 6 rolls cost 100.00 . At the same prices, 2 loaves of bread and 3 rolls cost 128.00 . How much does one loaf and 3 rolls cost? How much does one loaf cost? Wh

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A loaf of a bread and 6 rolls cost 100.00 . At the same prices, 2 loaves of bread and 3 rolls cost 128.00 . How much does one loaf and 3 rolls cost? How much does one loaf cost? Wh      Log On


   

Question 490368: A loaf of a bread and 6 rolls cost 100.00 . At the same prices, 2 loaves of bread and 3 rolls cost 128.00 . How much does one loaf and 3 rolls cost? How much does one loaf cost? What about one roll?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A loaf of a bread and 6 rolls cost 100.00 .
At the same prices, 2 loaves of bread and 3 rolls cost 128.00 .
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Equations:
b + 6r = 100
2b+ 3r = 128
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Multiply by 2 and solve for "r":
2b + 12r = 200
2b + 3r = 128
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Subtract:
9r = 72
r = 8
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Solve for "b":
b + 6r = 100
b + 6*8 = 100
b = 52
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How much does one loaf and 3 rolls cost?
Solve: b + 3r = 52 + 3*8 = 76
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How much does one loaf cost? What about one roll?
one loaf = 52
one roll = 8
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Cheers,
Stan H.
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