Quantitative Literacy Practice Exam

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If a recipe calls for 2 1/4 teaspoons of vanilla for 3 dozen cookies, how much vanilla is needed for 4 dozen cookies?
Correct Answer:
3 1/4 teaspoons
Explanation:
To determine how much vanilla is needed for 4 dozen cookies based on the original recipe, we can start by considering the amount of vanilla required per dozen. The recipe specifies that 2 1/4 teaspoons of vanilla is needed for 3 dozen cookies. To find out how much is needed for 1 dozen cookies, we can divide the total amount of vanilla by the number of dozens: 1. Convert 2 1/4 teaspoons to an improper fraction for easier calculations: - 2 1/4 = 9/4 teaspoons. 2. Now, divide by the number of dozens: - (9/4 teaspoons) / 3 = (9/4) * (1/3) = 9/12 teaspoons = 3/4 teaspoons per dozen. Next, to find out how much vanilla is needed for 4 dozen cookies, we simply multiply the amount needed for 1 dozen by 4: - (3/4 teaspoons per dozen) * 4 dozen = 3 teaspoons. However, it’s crucial to verify twice because that calculation might seem straightforward. Reassessing, if we multiply the original amount (2 1/4 teaspoons) needed for 3 dozen directly by the

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