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# Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost

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Math Expert
Joined: 02 Sep 2009
Posts: 55801
Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost  [#permalink]

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11 Jan 2019, 00:29
00:00

Difficulty:

35% (medium)

Question Stats:

74% (01:14) correct 26% (01:00) wrong based on 43 sessions

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Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost \$4.50, what is the cost of two sodas?

A. \$0.75
B. \$1.25
C. \$1.50
D. \$2.50
E. \$3.00

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Re: Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost  [#permalink]

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11 Jan 2019, 00:39
We are given two equations with two unknowns so definitely we have a unique answer.

The shortest way to the answer of ( what is the cost of two sodas) is to eliminate the hot dogs from the equations.

2H + 1S = \$3.25
3H + 1S = \$4.50

Multiply the equations to make the coefficient of H same ( which will be the LCM of 2 and 3 = 6)

6H + 3S = \$9.75
6H + 2S = \$9

On subtraction -
S = \$0.75

So 2S = \$1.5

Option (C) is correct.
Bunuel wrote:
Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost \$4.50, what is the cost of two sodas?

A. \$0.75
B. \$1.25
C. \$1.50
D. \$2.50
E. \$3.00

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Re: Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost  [#permalink]

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11 Jan 2019, 03:00
Bunuel wrote:
Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost \$4.50, what is the cost of two sodas?

A. \$0.75
B. \$1.25
C. \$1.50
D. \$2.50
E. \$3.00

simplify given info
let hotdog x and soda y
2x+y=3.25
3x+y=4.5
solve for x = 1.25
and
y = 0.75
2 soda = 0.75*2 = 1.5 IMO C
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Re: Two hot dogs and a soda cost \$3.25. If three hot dogs and a soda cost   [#permalink] 11 Jan 2019, 03:00
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