Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.

Which describes the ingredients Brad uses to make one batch of snack mix?

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Catya Catya · Answer 1 · 2017-09-28T14:41:45+02:00

let
c = cereal
m = mixed nuts
c = 3m
c + m = 6
3m + m = 6
4m = 6
m = 6/4
m = 3/2 or 1 &1/2 cup
then c = 3m
c = 3(3/2)
c = 9/2 or 4 &1/2 cup

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chisnau chisnau · Answer 2 · 2019-06-27T12:27:01+02:00

Answer:

The answer is 4.5 cups of cereal and 1.5 cups of mixed nuts

Step-by-step explanation:

Let 'c' be the number of cups of cereal.

Let 'n' be the number of cups of mixed nuts.

One batch of his recipe makes 6 cups of snack mix, so equation becomes:

[tex]c+ n=6[/tex] ..... (1)

Also given that Brad uses 3 times as much cereal as mixed nuts, so equation becomes:

[tex]c=3n[/tex] ......(2)

Substituting (2) in (1)

[tex]3n+n=6[/tex]

=> [tex]4n=6[/tex]

=> [tex]n=1.5[/tex]

Since c = 3n, then

[tex]c=3*1.5=4.5[/tex]

So, the answer is 4.5 cups of cereal and 1.5 cups of mixed nuts.