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At a certain refreshment stand, all hot dogs have the same price and

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At a certain refreshment stand, all hot dogs have the same price and  [#permalink]

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New post 21 Oct 2019, 02:05
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A
B
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Difficulty:

  25% (medium)

Question Stats:

88% (00:57) correct 12% (01:03) wrong based on 25 sessions

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At a certain refreshment stand, all hot dogs have the same price and all sodas have the same price. What is the total price of 3 hot dogs and 2 sodas at the refreshment stand?

(1) The total price of 5 sodas at the stand is less than the total price of 2 hot dogs.

(2) The total price of 9 hot dogs and 6 sodas at the stand is $21.

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Re: At a certain refreshment stand, all hot dogs have the same price and  [#permalink]

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New post 21 Oct 2019, 02:16
At a certain refreshment stand, all hot dogs have the same price and all sodas have the same price. What is the total price of 3 hot dogs and 2 sodas at the refreshment stand?

Let the price of hot dog be h and price of soda be s.. we are looking for 3h+2s

(1) The total price of 5 sodas at the stand is less than the total price of 2 hot dogs.
5s<2h...Insufficient

(2) The total price of 9 hot dogs and 6 sodas at the stand is $21.
9h+6s=21.. The ratio of 3:2 and 9:6 is same, so divide by 3..
\(\frac{9h+6s}{3}=\frac{21}{3}....3h+2s=7\)..Sufficient

B
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Re: At a certain refreshment stand, all hot dogs have the same price and  [#permalink]

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New post 21 Oct 2019, 02:57
Statement 1 is not sufficient.

Statement 2: if we divide both sides of the equation by 3, we get the answer

9h + 6s = 21
3h + 2s = 7
=> $7
Hence, sufficient.

Answer (B)

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Re: At a certain refreshment stand, all hot dogs have the same price and   [#permalink] 21 Oct 2019, 02:57
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At a certain refreshment stand, all hot dogs have the same price and

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