Brent@GMATPrepNow wrote: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
Answer:
E
Difficulty level: 550 - 600
Source:
www.gmatprepnow.com
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
