Question 800813: a hot dog and a soda cost $2.25 and two hotdogs and three sodas cost $5.25 find the cost of a hot dog and soda Found 2 solutions by algebrahouse.com, stanbon:Answer by algebrahouse.com(1659) (Show Source):
You can put this solution on YOUR website! h = cost of hot dog
s = cost of soda
h + s = 2.25 {a hot dog and a soda cost $2.25}
2h + 3s = 5.25 {two hot dogs and three sodas cost $5.25}
-2h - 2s = -4.50 {multiplied top equation by -2
2h + 3s = 5.25 {bottom equation stays the same}
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s = 0.75 {added the two equations together}
h + s = 2.25 {top original equation}
h + 0.75 = 2.25 {substituted 0.75, in for h, into top original equation}
h = 1.50 {subtracted 0.75 from each side}
You can put this solution on YOUR website! a hot dog and a soda cost $2.25 and two hotdogs and three sodas cost $5.25 find the cost of a hot dog and soda
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Equations:
d + s = 225 cents
2d+3s = 525 cents
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Modify for elimination::
2d + 2s = 450
2d + 3s = 525
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Subtract and solve for "s":
s = 75 cents (cost of one soda)
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Solve for "d"::
d + s = 225
d + 75 = 225
d = 150 cents (cost of one hot dog)
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Cheers,
Stan H.
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