Two groups of students order burritos at a mexican restaurant.
One order of 3 burritos and 4 tacos cost $11.33 and the other
order of 9 burritos and 5 tacos costs $23.56. How much will it
cost to buy 5 burritos and 7 tacos?
3B + 4T = 11.33
9B + 5T = 23.56
Solve by elimination:
Multiply the first equation by -3 to get -9B where the 3B is
so that it will cancel with the 9B when the equations are added.
-9B - 12T = -33.99
9B + 5T = 23.56
------------------
-7T = -10.43
T = $1.49
Substitute in
3B + 4T = 11.33
3B + 4(1.49) = 11.33
3B + 5.96 = 11.33
3B = 5.37
B = $1.79
A taco costs $1.49 and a burrito costs $1.79.
Therefore 5 burritos and 7 tacos will cost
5B + 7T = 5($1.79) + 7($1.49) = $19.38
Edwin