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Answer :
1/2 teaspoon of salt is needed for each teaspoon of pepper.
Step-by-step explanation:
- Step 1: Given details are - for 2 1/4 teaspoons of salt 1 1/8 teaspoons of black pepper is required.
2 1/4 teaspoons of salt = 9/4
1 1/8 teaspoons of pepper = 9/8
- Step 2: Find how many teaspoons of salt is required for each teaspoon of pepper
⇒ 9/4 teaspoons of salt = 9/8 teaspoons of pepper
⇒ 1 teaspoon of salt = 9/8 ÷ 9/4 = 9/8 × 4/9 = 1/2
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Final answer:
To calculate the ratio of salt to black pepper, the fractions 2 1/4 and 1 1/8 are converted to improper fractions and divided, resulting in a simplified ratio of 2 teaspoons of salt for every teaspoon of black pepper.
Explanation:
The question involves finding the ratio of salt to black pepper required in a recipe, which is a mathematical calculation of proportions. First, to simplify the ratio of 2 1/4 teaspoons of salt to 1 1/8 teaspoons of black pepper, we convert these to improper fractions. The conversion gives us 9/4 (which is 2 1/4) teaspoons of salt and 9/8 (which is 1 1/8) teaspoons of black pepper. Next, we divide the fraction for salt by the fraction for black pepper to get the ratio of salt per teaspoon of black pepper:
(9/4) / (9/8) = (9/4) * (8/9) = 2/1
Thus, you will need 2 teaspoons of salt for each teaspoon of black pepper used.
