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A tomato sauce recipe calls for 3/4 Cups of basil for each 1/8 teaspoon of salt. If 1 cup of basil

is used, how many teaspoons of salt should be used?

User Rulas
by
8.7k points

2 Answers

8 votes

Final answer:

To determine how many teaspoons of salt should be used when 1 cup of basil is used, we can set up a proportion using the ratio provided in the recipe. We can then solve for the unknown variable to find the equivalent amount of salt needed.

Step-by-step explanation:

To determine how many teaspoons of salt should be used when 1 cup of basil is used, we need to use the ratio provided in the recipe. The ratio is 3/4 cups of basil for each 1/8 teaspoon of salt. This means that for every 3/4 cups of basil, we need 1/8 teaspoon of salt. If we have 1 cup of basil, we can set up a proportion to find the equivalent amount of salt:

3/4 cups of basil x teaspoons of salt
1/8 teaspoon of salt 1 cup of basil

To solve this proportion, we can cross-multiply and then solve for x:

3/4x = 1/8
x = (1/8)/(3/4)
x = (1/8)*(4/3)
x = 1/6
Therefore, when 1 cup of basil is used, 1/6 teaspoon of salt should be used.

User Nick Whaley
by
8.4k points
11 votes

Answer: 1/6 teaspoon of salt

Work Shown:

3/4 cups basil : 1/8 teaspoon of salt

1 cup basil : (4/3)*(1/8) teaspoon of salt

1 cup basil : (4*1)/(3*8) teaspoon of salt

1 cup basil : 4/24 teaspoon of salt

1 cup basil : 1/6 teaspoon of salt

You'll split a full teaspoon into 6 smaller pieces, and only use one of those pieces.

User Dibi
by
8.5k points
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