Question

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.

Answer 1

Let n represents the mixed nut and c represents the cereal nuts

It is also given that:

Brad is using 3 times as much cereal as mixed nuts.

So, the cereal nut will be 3n i.e

c = 3n

Since, Brad is using 6 cups of snack mix for one batch.

⇒c+n = 6

So, the system of equations becomes:

`c+n = 6` ......[1]

`c= 3n` ......[2]

Substitute equation [2] in [1] we get;

`3n+n = 6`

Combine like terms;

`4n = 6`

Divide both sides by 4 we get;

`n = (6)/(4) = (3)/(2) = 1.5`

Substitute this value of n in [2] we get;

`c= 3(1.5) = 4.5`

Therefore, the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix are:

c = 4.5 and n = 1.5