A recipe for chicken marinade says, ''Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice. ''if you need 42 cups of marinade in all, how much of each ingredient should you see?

Parts of oil in 42 cups of marinade = 21 cups

Parts of soy sauce in 42 cups of marinade = 14 cups

Parts of orange juice in 42 cups of marinade = 7 cups

Step-by-step explanation:

Given that:

Parts of oil = 3

Parts of soy sauce = 2

Part of orange juice = 1

Total cups of marinade = 42

To find:

How much of each ingredient should be there ?

Solution:

This problem can be solved by taking the ratio of ingredients into account.

The ratio is:

Oil : Soy Sauce : Orange Juice = 3 : 2 : 1

So, we can let the parts of oil =

Parts of soy sauce =

Parts of orange juice =

As per the question statement:

So, parts of oil in 42 cups of marinade = 3 7 = 21 cups

Parts of soy sauce in 42 cups of marinade = 2 7 = 14 cups

Parts of orange juice in 42 cups of marinade = 7 cups

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x