Write a matrix equation of the form AX = B to model the given application problem. Then solve the matrix equation using X = A-1B. You must state A-1 as part of your work. [Change A-1 to fractional form using the MATH key on your calculator]

On Monday Bob's pizzeria sold 36 medium pizzas and 45 large pizzas for a total of $1475.19. On Tuesday Bob's pizzeria sold 50 medium pizzas and 61 large pizzas for a total of $2018.89. What does Bob charge for a medium pizza? for a large?

Question

Write a matrix equation of the form AX = B to model the given application problem. Then solve the matrix equation using X = A-1B. You must state A-1 as part of your work. [Change A-1 to fractional form using the MATH key on your calculator]

On Monday Bob's pizzeria sold 36 medium pizzas and 45 large pizzas for a total of $1475.19. On Tuesday Bob's pizzeria sold 50 medium pizzas and 61 large pizzas for a total of $2018.89. What does Bob charge for a medium pizza? for a large?

anonymous · Answer

write system equations based on given date first:
36*x + 45*y = 1475.19
50*x + 61*y = 2018.89
build matrix presentation:
|36   35|  |x|  =  |1465.19|
|50   61|  |y|       |2018.19|

solve it as requested