Can anyone a bakery sells muffins for $3.50 each. a beverage is $1.75. a class purchases 32 items and spends a total of $87.50. write the system of equations and represent it as a matrix equation. b. state the value of the determinant. c. use matrices to solve the system. find the number of muffins and the number of beverages purchased.

Not sure about matrix equation but this is how I answer it.

Given:
muffins = 3.50
beverage = 1.75
total number of items = 32
total cost = 87.50

m + b = 32
3.50m + 1.75b = 87.50

m = 32 - b

3.50(32-b) + 1.75b = 87.50
112 - 3.50b + 1.75b = 87.50
-3.50b + 1.75b = 87.50 - 112
-1.75b = -24.50
b = -24.50 / -1.75
b = 14

m = 32 - b
m = 18

The class bought 18 muffins and 14 beverages.

3.50m + 1.75b = 87.50
3.50(18) + 1.75(14) = 87.50
63 + 24.50 = 87.50
87.50 = 87.50