Question

You and a friend go to Tacos Galore for lunch. You order two soft tacos and three burritos, and

your total bill is AED 18. Your friend's bill is AED 20.00 for four soft tacos and two burritos.
How much does a soft taco cost?

Answer 1

AED 3

Explanation:

Let tacos: t

Let burritos: b

1) Set up equations.

2t + 3b = 18

4t + 2b = 20

2) Solve the system of equations using substitution.

2t = 18 - 3b

t = 18/2 - 3b/2

t = 9 - 3b/2

Substitute this into the second equation and simplify.

4(9 - 3b/2) + 2b = 20

36 - 12b/2 + 2b = 20

36 - 6b + 2b = 20

36 - 4b = 20

-4b = 20 - 36

-4b = -16

b = -16/-4

b = 4

3) Substitute the found answer in any one of the two equations.

2t + 3(4) = 18

2t + 12 = 18

2t = 18 - 12

2t = 6

t = 6/2

t = 3

Therefore, a soft taco costs AED 3.