Question

The ratio of butter:flour:sugar in a recipe is 1:9:6. When using 8 cups of sugar in this recipe, how many total cups of ingredients will be used? Express your answer as a common fraction.

Answer 1

6/8 = 3/4
so,
9×3/4=27/4
1×3/4=3/4
so,
total = 8+27/4+3/4 = 8+30/4 = 8+15/2 = 31/2
so, total 31/2 cups of ingredients.

Answer 2

The total number of cups of ingredients is  $\dfrac{64}{3}$.

Step-by-step explanation:

It is given that the ratio of butter:flour:sugar in a recipe is 1:9:6.

Let the amount of butter, flour, sugar are x, 9x and 6x cups respectively.

Total cups of ingredients = x+9x+6x = 16x

If there are 8 cups of sugar in this recipe, then we need to find the total cups of ingredients.

$6x=8$

Divide both sides by 6.

$x=\dfrac{8}{6}$

$x=\dfrac{4}{3}$

The value of x is 4/3. So, number of total cups of ingredients is

$16x=16(\dfrac{4}{3})=\dfrac{64}{3}$

Therefore, the total number of cups of ingredients is  $\dfrac{64}{3}$.

#Learn more

A recipe uses butter and sugar in the ratio of 2:3 if butter is used 8 cups how many cups of sugar should be used.

https://brainly.in/question/8591429