Question

The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35.
(a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.

Answer 1

let r is the drink refills and b is the breakfast.

a) The system of equations:   2 r + b = 8.40    3 r + b = 9.35

b) You can check Graph in the attachment.

c)  Each item costs: b = $6.50,  r = $0.95We can prove it:
2 x 0.95 + 6.50 = 8.403 x 0.95 + 6.50 = 9.35