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. which describes the ingredients brad uses to make one batch of snack mix? 2 cups of cereal and 4 cups of mixed nuts 3 cups of cereal and 9 cups of mixed nuts 4.5 cups of cereal and 1.5 cups of mixed nuts 7.5 cups of cereal and 4.5 cups of mixed nuts

Answer 1

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

Explanation:

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Answer 2

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

c - the number of cups of cereal
n - the number of cups of mixed nuts

One batch of his recipe makes 6 cups of snack mix: c + n = 6
Brad uses 3 times as much cereal as mixed nuts: c = 3n

So we have the system of two equations:
c + n = 6
c = 3n
_______
Let's use the method of substitution and substitute c into the first equation
3n + n = 6
4n = 6
n = 6/4
n = 1.5

Since c = 3n, then
c = 3 * 1.5 = 4.5

Therefore, Bred used 4.5 cups of cereal and 1.5 cups of mixed nuts