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

`(3)/(2)` of mixed nut and
`(9)/(2)` of cereal nut.

Explanation:

Let the mixed nut be x

and since, Brad is using 3 times as much cereal as mixed nuts.

So, the cereal nut will be 3x.

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

So, the equation becomes:

x +3x=6.

4x=6.

x =6/4

x=3/2.

So, Brad is using
`(3)/(2)` of mixed nut

And cereal is 3 times of mixed nut

Therefore,

And
`(3\cdot 3)/(2)`

`(9)/(2)` of cereal nut.