A spice recipe calls for 1/2 tsp of crushed red pepper for every 1 1/4 tsp of black pepper. You ude 3 tsp of crushed red pepper. How many tsp of black pepper do I need?
To find out how much black pepper you need, you need to determine the ratio between the amount of crushed red pepper and black pepper.
The recipe states that for every 1/2 tsp of crushed red pepper, you should use 1 1/4 tsp of black pepper. This can be written as:
(1/2 tsp red pepper) : (1 1/4 tsp black pepper)
Now, we can use this ratio to find out how much black pepper is needed when using 3 tsp of crushed red pepper.
Let's set up the proportion:
(1/2 tsp red pepper) / (1 1/4 tsp black pepper) = (3 tsp red pepper) / x
To solve for x (the amount of black pepper needed), we can cross-multiply and solve for x:
(1/2 tsp red pepper) * x = (1 1/4 tsp black pepper) * (3 tsp red pepper)
Multiply both sides by 2 to simplify the red pepper fraction:
x = (2 * 1 1/4 tsp black pepper * 3 tsp red pepper) / 1/2 tsp red pepper
Simplifying further:
x = (2 * 5/4 tsp black pepper * 3 tsp red pepper) / 1/2 tsp red pepper
Now, cancel out the tsp red pepper terms:
x = (2 * 5/4 tsp black pepper * 3) / (1/2)
Multiply across the numerator:
x = (10 * 3) / (1/2)
Divide by the denominator:
x = 30 / (1/2)
To divide by a fraction, we can multiply by its reciprocal:
x = 30 * (2/1)
Finally, multiply:
x = 60
Therefore, you will need 60 tsp of black pepper when using 3 tsp of crushed red pepper in this recipe.