A group of students go out to lunch. If four have burritos and two have tacos, the bill will be $19.00. If three have burritos and three have tacos the bill will be 17.25. Find the price of each burrito and taco

burritos cost $4

tacos cost $ 1.75

Step-by-step explanation:

let b represent the price of burritos

let t represent the price of tacos

3b + 4t = 19

5b + 3t = 25.25

multiply the first equation by -3 and second by 4 to eliminate t

-3(3b + 4t = 19)

4(5b + 3t = 25.25)

-9b - 12t = -57

20b + 12t = 101

add both equations

11b  = 44

11       11

b = 4

substitute b = 4 into any equation to find the price of tacos

3b + 4t = 19

3(4) + 4t = 19

12 + 4t = 19

-12          -12

4t = 7

4    4

t = 1.75