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Julia and Tanveer are solving the questions shown in the table.

Julia’s and Tanveer’s Math Classwork
Julia’s Question
Tanveer’s Question
A cooler holds 8 quarts of juice. How many One-fourth quart servings of juice does the

cooler hold?
How many quarts of juice

are needed to give 8 people each a One-fourth quart serving of juice?

Whose problem is best modeled by a division expression?
only Julia’s
only Tanveer’s
both Julia’s and Tanveer’s
neither Julia’s nor Tanveer’s

1 answer

To determine whose problem is best modeled by a division expression, let's analyze each question:

  1. Julia’s Question:

    • The question asks how many one-fourth quart servings of juice are in a cooler that holds 8 quarts.
    • We can model this with division: \( 8 \text{ quarts} \div \frac{1}{4} \text{ quart/serving} \). This determines how many servings can be made, which involves dividing the total amount of juice by the size of each serving.

  2. Tanveer’s Question:

    • The question asks how many quarts of juice are needed to give 8 people each a one-fourth quart serving of juice.
    • To find the total amount of juice needed, you would multiply the number of people (8) by the serving size (one-fourth quart): \( 8 \times \frac{1}{4} \). This does not involve division.

Based on this analysis, the correct conclusion is:

  • Julia’s problem is best modeled by a division expression, while Tanveer's problem is best modeled by a multiplication expression.

Therefore, the answer is only Julia’s.