Question

Two groups of students order burritos and tacos at a local restaurant. One order of 3 burritos and 4 tacos costs $11.33. The other order of 9 burritos and 5 tacos costs $23.56. What is the cost of a taco?

Answer 1

3b + 4t = 11.33 --->(-3)
9b + 5t = 23.56
---------------
-9b - 12t = -33.99 (result of multiplying by -3)
9b + 5t = 23.56
---------------add
- 7t = - 10.43
t = -10.43/-7
t = 1.49

I am going to complete the problem just to check the answer

now sub 1.49 in for t in either equation to find b
3b + 4t = 11.33
3b + 4(1.49) = 11.33
3b + 5.96 = 11.33
3b = 11.33 - 5.96
3b = 5.37
b = 5.37/3
b = 1.79

check..
9b + 5t = 23.56
9(1.79) + 5(1.49) = 23.56
16.11 + 7.45 = 23.56
23.56 = 23.56 (correct)

burritos (b) cost $ 1.79
tacos (t) cost $ 1.49