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.

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

Answer: C

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

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

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________