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# There are three times as many hot dogs as pizzas and five times as man

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Joined: 02 Sep 2009
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There are three times as many hot dogs as pizzas and five times as man  [#permalink]

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16 Oct 2016, 06:06
00:00

Difficulty:

45% (medium)

Question Stats:

66% (02:03) correct 34% (01:59) wrong based on 146 sessions

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There are three times as many hot dogs as pizzas and five times as many brownies as hot dogs in "Junk Food 'R' Us" restaurant. The restaurant sells only whole products (you cannot buy half a pizza, for example). How many brownies are there in the restaurant?

(1) There are at least 10 pizzas in the restaurant

(2) There are 32 hot dogs at most in the restaurant

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There are three times as many hot dogs as pizzas and five times as man  [#permalink]

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16 Oct 2016, 08:11
Bunuel wrote:
There are three times as many hot dogs as pizzas and five times as many brownies as hot dogs in "Junk Food 'R' Us" restaurant. The restaurant sells only whole products (you cannot buy half a pizza, for example). How many brownies are there in the restaurant?

(1) There are at least 10 pizzas in the restaurant

(2) There are 32 hot dogs at most in the restaurant

I'll go with C

3*Pizzas = Hot Dogs & 5*Hot Dogs = Brownies

S1 - Insufficient; the number of pizzas can be anything greater than or equal to 10 & the number of brownies will be 15 times that amount. Hence, insufficient
S2 - Insufficient; again, the number of brownies can be 5 times of any multiple of 3 (the restro only keeps food items in whole numbers and hence number of hot dogs should be divisible by 3)

If we combine S1 & S2, the only qty that fits the bill would be 10 Pizzas & 30 Hot Dogs & hence 150 brownies.
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There are three times as many hot dogs as pizzas and five times as man  [#permalink]

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16 Oct 2016, 09:49
IMO C.
Given:
HD__pizza__ borwnies
3____1
1___________5
3____1______15
According to question:
statment 1. more than 10 pizzas. no of pizzas can be 15 or 30 or 60 and so on. Not sufficient
statement2. at most 32 hot dogs. no of hod dog can be 3,6,9,12...30. therfor no of pizza can be 15,30,45...and so on.Not sufficient.

Both 1+2 : HD:pizza:brownies :: 30:10:150. so no of pizzas = 150 suficient.
hence C
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Re: There are three times as many hot dogs as pizzas and five times as man  [#permalink]

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08 Nov 2016, 10:25

We know that HD=3P ⇒ HD is a multiple of 3: ..., 33, 30, 27, ...
and B=5HD

1- P >= 10
if P=10 ⇒ HD=30 and B=150
if P=11 ⇒ HD=33 and B=165
Two or more possible answers ⇒ not sufficient

2- HD <= 32, we know that HD should be a multiple of 3
if HD=30 ⇒ B=150
if HD=27 ⇒ B=145
Not Sufficient

-1- and -2- together are sufficient. P=10, HD=30, and B=150
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Re: There are three times as many hot dogs as pizzas and five times as man  [#permalink]

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17 Nov 2016, 08:46
Bunuel wrote:
There are three times as many hot dogs as pizzas and five times as many brownies as hot dogs in "Junk Food 'R' Us" restaurant. The restaurant sells only whole products (you cannot buy half a pizza, for example). How many brownies are there in the restaurant?

(1) There are at least 10 pizzas in the restaurant

(2) There are 32 hot dogs at most in the restaurant

from stem

h:p:b = 3:1:15 , no fractions allowed , 3x , x , 15x are the counts where x is +ve integer

from1
x>=10 ... insuff

from 2

3x<= 32 , thus x<= 10... insuff

both

10<=x<=10 thus x = 10.....suff

C
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Re: There are three times as many hot dogs as pizzas and five times as man  [#permalink]

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27 Jan 2019, 12:02
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Re: There are three times as many hot dogs as pizzas and five times as man   [#permalink] 27 Jan 2019, 12:02
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