Joe’s restaurant has exactly 3 items on its menu: Prawns Only

Question

Joe’s restaurant has exactly 3 items on its menu: Prawns Only meal, Steak Only meal, and Steak & Prawns meal. If the kitchen has 592 prawns and 30 pounds of steak, can it make at least 100 meals?

(1) Each Prawns Only meal requires 15 prawns 
(2) Each Steak Only meal requires 0.62 pounds of steak

* kudos for all correct solutions

piyush93 · Answer

Prawns Only meal = 592/15=39
Steak Only meal = 30/0.62= 48
The sum is less than 100. However, no information is given about Steak & Prawns meal. So, we can not calculate the number of Steak & Prawns meal. Thus, E is the answer.

SSM700plus · Answer

Statement 1 :-  
Prawns Only meal = 592/15=39. So 39 Prawns Only meals are possible. But we don't have any information about Steak Only meal and Steak & Prawns meal.
So we cannot really say whether JR can make 100 meals. NOT SUFFICIENT.

Statement 2 :-  
Steak Only meal = 30/0.62= 48. So 48 Steak Only meals are possible. But we don't have any information about Prawns Only meal and Steak & Prawns meal.
So we cannot really say whether JR can make 100 meals. NOT SUFFICIENT.

Both Statement 1 and Statement 2 :-   
39 + 48 = 87.
The sum is less than 100. 
But still we don't have any info about Steak & Prawns meal. 
So, we can not calculate the number of Steak & Prawns meal. NOT SUFFICIENT.

Thus, E is the answer.

BrentGMATPrepNow · Answer

Target question :    Can the restaurant make at least 100 meals?

Statement 1 : Each Prawns Only meal requires 15 prawns  
The restaurant has 592 prawns. 
Before calculating 592/15, we can see that, IF the restaurant had 600 prawns, then we could make 40 Prawns Only meals. 
Since there are 592 prawns, we can make  39  Prawns Only meals. 
Unfortunately, we don't know how much steak is required to make a Steak Only meal. 
So,  the restaurant MAY or MAY NOT have enough prawns and steak to create 100 meals 
Since we cannot answer the  target question  with certainty, statement 1 is NOT SUFFICIENT

Statement 2 : Each Steak Only meal requires 0.62 pounds of steak   
We need not divide 30 by 0.62 to determine how many meals this will make. 
Instead, recognize that 30 divided by 0.5 = 60. 
So, 30 divided by 0.62 will be  some value less than 60  
In other words, we can make  fewer than 60 Steak Only meals 
Unfortunately, we don't know how many prawns are required to make a Prawns Only meal. 
So,  the restaurant MAY or MAY NOT have enough prawns and steak to create 100 meals 
Since we cannot answer the  target question  with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined    
So far, we've only tried to make two meals (Prawns Only meals and Steak Only meals) 
What happens if we try to make Steak & Prawns meals as well?
Unfortunately, we don't know how much food is required to make a Steak & Prawns meal. 
Consider these two possible cases:

case a : a Steak & Prawns meal requires 1 prawn and 0.01 pounds of steak. In this case,  the restaurant COULD make more than 100 meals

case b : a Steak & Prawns meal requires 1000 prawns and 100 pounds of steak. In this case, the restaurant cannot make any Steak & Prawns meals. However, they could still make  39  Prawns Only meals and  fewer than 60 Steak Only meals . In this case,  the restaurant CANNOT make 100 meals

Since we cannot answer the  target question  with certainty, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent

Joe’s restaurant has exactly 3 items on its menu: Prawns Only

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