Question

A new Coffee Bean & Tea Leaf coffee drink consists only of certain amounts of espresso and sugar. What is the ratio of espresso to sugar in the new drink?
(1) There are 15 ounces of sugar in 35 ounces of the new drink.
(2) There are 40 ounces of espresso in 70 ounces of the new drink.

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• D. EACH statement ALONE is sufficient.
• E. Statements (1) and (2) TOGETHER are NOT sufficient.

Hint:

In Data Sufficiency ratio problems, you don't always need the exact total amounts. As long as a statement allows you to determine the relationship between the parts, it's often sufficient. Both statements here define the composition of the drink, allowing for the calculation of the ratio.

Answer 1

The Correct Option is D

Step 1: Understanding the Question
Let E be the amount of espresso and S be the amount of sugar. The total amount of the drink is T = E + S. The question asks for the ratio E:S.
Step 2: Analysis of Statement (1)
Statement (1) says that in a total drink of T = 35 ounces, the amount of sugar is S = 15 ounces.
Since the drink consists only of espresso and sugar, we can find the amount of espresso:
\[ E = T - S = 35 - 15 = 20 \text{ ounces} \] Now we can find the ratio of espresso to sugar:
\[ \frac{E}{S} = \frac{20}{15} = \frac{4}{3} \] So, the ratio E:S is 4:3. This provides a specific, unique answer to the question.
Therefore, Statement (1) ALONE is sufficient.
Step 3: Analysis of Statement (2)
Statement (2) says that in a total drink of T = 70 ounces, the amount of espresso is E = 40 ounces.
We can find the amount of sugar:
\[ S = T - E = 70 - 40 = 30 \text{ ounces} \] Now we can find the ratio of espresso to sugar:
\[ \frac{E}{S} = \frac{40}{30} = \frac{4}{3} \] So, the ratio E:S is 4:3. This also provides a specific, unique answer to the question.
Therefore, Statement (2) ALONE is sufficient.
Step 4: Final Answer
Since each statement alone is sufficient to answer the question, the correct answer is (D).