Question
How many more teaspoons of pepper than salt are needed? Very raspberry vinaigrette INGREDIENTS: 3 cups raspberry vinegar \( 2 \frac{3}{4} \) cups olive oil \( \frac{3}{4} \) cup maple syrup 1 cup Dijon mustard \( 2 \frac{5}{8} \) teaspoons pepper \( \frac{1}{2} \) teaspoon salt Write your answer as a fraction or as a whole or mixed number.
Ask by Li Garrett. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
There are \( 2 \frac{1}{8} \) more teaspoons of pepper than salt needed.
Solution
First, write the amounts as improper fractions. The pepper amount is 2 5/8 teaspoons, which is equivalent to (2 × 8 + 5)/8 = 21/8 teaspoons. The salt amount is 1/2 teaspoon, which can be written as 4/8 teaspoons.
Subtract the salt amount from the pepper amount:
21/8 – 4/8 = 17/8 teaspoons.
Expressing 17/8 as a mixed number gives 2 1/8 teaspoons.
Therefore, 2 1/8 more teaspoons of pepper than salt are needed.
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Simplify this solution The Deep Dive
To find out how many more teaspoons of pepper than salt are needed, let's compare the amounts given: You have \( 2 \frac{5}{8} \) teaspoons of pepper and \( \frac{1}{2} \) teaspoon of salt. First, convert both measurements to improper fractions: - Pepper: \( 2 \frac{5}{8} = \frac{21}{8} \) teaspoons - Salt: \( \frac{1}{2} = \frac{4}{8} \) teaspoons Now, subtract the amount of salt from the amount of pepper: \[ \frac{21}{8} - \frac{4}{8} = \frac{17}{8} \] So, there are \( \frac{17}{8} \) more teaspoons of pepper than salt. This can also be expressed as a mixed number: \( 2 \frac{1}{8} \) teaspoons.
