A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla. If you use 20 cups of flour how many cups of vanilla should i use

Respuesta :

Answer:

0.1666 cups vanilla or 8 teaspoons

Step-by-step explanation:

5 cups flour = 2 tsp vanilla

multiply each side by 4

20 cups flour = 8 tsp vanilla

there are 48 tsp in a cup, so divide 8 by 48

20 cups flour = 0.1666(repeating decimal) cups vanilla

The cup of vanilla to be used to prepare a recipe for the 4 batches of cookies is 0.1667 cups of vanilla.

Given that:

  • 1 batch of the cookies = 5 cups of fours + 2 teaspoons of Vallina

If 20 cups of flours are used and we know a cookie require just 5 cups, then:

the number of cookies to be made from 20 cups of flours is:

  • = (20 cups of flours × number of cookies)/5 cups of flour
  • = 4 cookies

Since there are 4 cookies to be made, then the total number of teaspoons to be used for the 4 cookies is;

  • = 2 × 4 cookies
  • = 8 cookies

Thus, 20 cups of flour and 8 teaspoons of vanilla are required to make four batches of cookies.

But, we are to leave our answers in cups of vanilla. Let, the unknown number of cups of vanilla be (x)

  • In a cup, there are 48 teaspoons
  • In (x) cup now, there are 8 teaspoons.

1 × 8 = 48 × (x)

(x) = (1 ×8)/48

(x) = 8/48

(x) = 0.1667 cups of vanilla.

Therefore, we can conclude that the cups of vanilla to be used are 0.1667 cups.

Learn more about conversion here:

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