Seafoodgumbo, a traditional MardiGras dish, uses 12 cups of chicken broth for each 1 1/ 4 cups of flour. Mr. Clark used 8 3 /4 cups of flour for his gumbo. How many cups of chicken broth did he use?

84 cups of chicken broth

Step-by-step explanation:

Ratio of chicken broth to flour = 12 cups : 1 1/4 cups

Mr. Clark used 8 3 /4 cups of flour for his gumbo.

How many cups of chicken broth did he use?

Let x = cups of chicken broth he used

Ratio of chicken broth to flour = x cups : 8 3/4 cups

Equate the ratios

12 cups : 1 1/4 cups = x cups : 8 3/4 cups

12 ÷ 5/4 = x ÷ 35 / 4

12 * 4/5 = x * 4/35

48 / 5 = 4x / 35

Cross product

48 * 35 = 5 * 4x

1,680 = 20x

x = 1,680 / 20

= 84

x = 84 cups

what statement? is there an image?

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: