Question

The spanish Club is having a bake sale . you can buy a bag of trail mix and loaf of pumpkin bread for $24 . this situation can be represented with the system x + y = 11 and 3x + 2y = 24, where x represents the cost of a bag of trail mix and y represents the costs of a loaf of pumpkin bread , how much does each bag of trail mix and each loaf of pumpkin bread cost ??

Answer 1

each bag of trail mix costs $2 and each loaf of pumpkin bread costs $9.

Explanation:

To find the cost of each item, we need to solve the system of equations.

We can use substitution method:

3x + 2y = 24

x + y = 11

Solving for x in the second equation:

x = 11 - y

Substituting this into the first equation:

3(11 - y) + 2y = 24

Solving for y:

33 - 3y + 2y = 24

-y = -9

y = 9

Then we can use y = 9 in the equation x = 11 - y to find x:

x = 11 - 9 = 2

So each bag of trail mix costs $2 and each loaf of pumpkin bread costs $9.