Question

Juan’s mother sent a bag of cookies with him to share with his class. His class never saw the cookies. On the way to school, Juan and his friend Ronald stopped at the park and ate all of the cookies. Juan ate 3/6 of the bag of cookies, and Ronald ate 7/16 of the bag. Who ate more cookies?

A) Juan ate more cookies.
B) Ronald ate more cookies.
C) They ate the same number of cookies.
D) It cannot be determined.

Answer 1

Juan ate 3/6 of the cookies, which simplifies to 1/2. Ronald, on the other hand, ate 7/16. Option B is the answer.

Step-by-step explanation:

To compare these fractions, find a common denominator, which is 16 in this case. Convert 1/2 to 8/16. Now, it's evident that Ronald ate more cookies (7/16 > 8/16). Therefore, option B is the correct answer.

In essence, converting both fractions to a common denominator allows for a straightforward comparison. Ronald's fraction represents a larger portion of the cookies, making him the one who ate more. This demonstrates the importance of a common basis for accurate fraction comparisons.

Option B is the answer.