A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings. How many fluid ounces are needed for 80 servings?

Respuesta :

There are 16 servings for each 128 fluid ounces of juice. 

Divide 80 servings by 16 servings, and 5 should be the quotient. Therefore, there are 5 jars of juice. Multiply 128 by 5 since 128 fluid ounces are in one jar. The answer should be 640 fluid ounces. 

Answer: 640 fluid ounces

Step-by-step explanation:

We assume that the fluid ounces in jar is directly proportional to the number of servings.

Given : A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings.

Ratio of  fluid ounces of juice to number of servings =[tex]\dfrac{128}{16}[/tex]  (1)

Let x denotes the fluid ounces are needed for 80 servings.

Ratio of  fluid ounces of juice to number of servings =[tex]\dfrac{x}{80}[/tex]   (2)

From (1) and (2) , we have

[tex]\dfrac{x}{80}=\dfrac{128}{16}[/tex]   [in direct variation ration  remains constant.]

[tex]x=\dfrac{128\times80}{16}=640[/tex]

Hence, 640 fluid ounces are needed for 80 servings.