Bunuel
A certain ice cream factory makes two flavors of ice cream: chocolate and caramel. Each flavor comes in two varieties: one with over 20 percent milk and one with under 20 percent milk. Did more than 2/5 of all the ice cream made in July contain over 20 percent milk?
(1) Exactly 80 percent of the caramel ice cream made in July contained over 10 percent milk, and of this amount, 1/4 contained over 20 percent milk.
(2) Exactly 1,000 gallons of the chocolate ice cream made in July contained over 20 percent milk.
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:Question Type: Yes/No Did more than 2/5 of the ice cream made in July contain over 20% milk?
Given information from the question stem: The factory makes two flavors of ice cream: chocolate and caramel. Each flavor comes in over 20% milk and under 20% milk. This means that there are four total possibilities: chocolate over 20%, chocolate under 20%, caramel over 20%, and caramel under 20%. You are looking for the combined fraction of the ice cream that is over 20% milk.
Statement 1: 80% of the caramel ice cream contained over 20% milk. This statement is not sufficient because you know nothing about the chocolate ice cream. Eliminate choices A and D.
Statement 2: 1,000 gallons of chocolate ice cream contained over 20% milk. This statement does not tell you how many gallons of chocolate ice cream were
made a as whole. It is not as useful as statement 1 and is certainly not sufficient alone. Eliminate choice B.
Together: You know that 4/5 of the caramel ice cream is over 20% milk, but you do not know what the proportion is for the chocolate ice cream. The number “1,000 gallons” from Statement 2 is not particularly useful in this situation. Even with both statements together there is not enough information.
The correct answer is E.