Answer
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 :)
Answer:
[tex]\frac{10}{3}[/tex] should be the number of teaspoons of vanilla used when 5 cups of flour is used in the recipe.
Step-by-step explanation:
We are given the following information in the question:
Number of teaspoons of vanilla used in a cookie recipe = [tex]\displaystyle\frac{1}{2}[/tex]
Number of cups if flower used in a cookie recipe =
[tex]\displaystyle\frac{3}{4}[/tex]
In order to solve this problem we use the concept of ratios.
[tex]\text{Ratio} = \displaystyle\frac{\text{Teaspoons of vanilla}}{\text{Cups of flour}}\\\\= \frac{\frac{1}{2}}{\frac{3}{4}} = \frac{4}{6} = \frac{2}{3} = 2:3[/tex]
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:
[tex]\displaystyle\frac{2}{3} = \frac{x}{5}\\\\x = \frac{10}{3}[/tex]
Hence,[tex]\frac{10}{3}[/tex] should be the number of teaspoons of vanilla used when 5 cups of flour is used in the recipe.
