A snack mix recipe makes 15 cups. It uses 5 cups of nuts and the rest is cereal. To make a 60-cup batch, how many cups of cereal are needed?
A. 40 cups
B. 24 cups
C. 20 cups
D. 10 cups

Respuesta :

5 cups of nuts *4= 20 cups of nuts 
60-20=40 cups of cereal 

Answer:

A

Step-by-step explanation:

Let x be the number of cups needed for a cereal. Of the 15 cups, 5 cups are nuts and the rest is cereal:

[tex]=5/15=0.33[/tex]

33% of the mix is nuts and therefore:

[tex]100-33=67[/tex]

67% of the mix is cereal

To make 60 cup batch the cereal will be:

[tex]60\cdot{0.67}=40.2[/tex]

40 cups of cereal will make a 60 cup batch