Question

You and a friend go to tacos for lunch. You order two burritos and five tacos and your total bill is $16. Your friend's bill is $15 for three burritos and three tacos. How much does a burrito cost? How much does a taco cost?

Answer 1

Burrito = $3

Taco = $2

Explanation:

Let b represent the cost of burrito

Let t represent the cost of taco

2b + 5t= 16.......equation 1

3b + 3t = 15.......equation 2

Multiply equation 1 by 3 and equation 2 by 2

6b + 15t= 48

-

6b + 6t = 30

9t= 18

t = 18/9

t = 2

Substitute 2 for t in equation 1

2b + 5t= 16

2b +5(2) = 16

2b + 10= 16

2b = 16-10

2b = 6

b = 6/2

b= 3

Hence the price of burritos is $3 and the price of taco is $2