Question

a cookie recipe uses 1/2 teaspoon of vanilla with 3/4 cup of flour how much vanilla should be used with five cups of flour?

Answer 1

`(10)/(3)` should be the number of teaspoons of vanilla used when 5 cups of flour is used in the recipe.

Explanation:

We are given the following information in the question:

Number of teaspoons of vanilla used in a cookie recipe =
`\displaystyle(1)/(2)`

Number of cups if flower used in a cookie recipe =

`\displaystyle(3)/(4)`

In order to solve this problem we use the concept of ratios.

`\text{Ratio} = \displaystyle\frac{\text{Teaspoons of vanilla}}{\text{Cups of flour}}\\\\= ((1)/(2))/((3)/(4)) = (4)/(6) = (2)/(3) = 2:3`

This ratio could be interpreted as 2 teaspoons of vanilla would require 3 cups of flower in the cookie recipe.

Now, we want how much vanilla to use when we have 5 cups of flower. Let x be the amount of vanilla required, then, we have:

`\displaystyle(2)/(3) = (x)/(5)\\\\x = (10)/(3)`

Hence,
`(10)/(3)` should be the number of teaspoons of vanilla used when 5 cups of flour is used in the recipe.

Answer 2

3 cups of vanilla should be used with 5 cups of flour

Explanation

multiply each side of the ratio by 6

1/2:3/4

1/2 x 6 = 3

3/4 x 6 = 5

therefore, the ratio 1/2:3/4 is equivalent to 3:5 (3.3:4.6 to be exact but i rounded)

hope this helps!

have an awesome day :)