you and a friend go to taco bell for lunch. you order four soft tacos and two burritos and your bill totals $11.50. your friend's bill $12.00 for three soft tacos and three burritos. how much do the tacos and burritos cost?

Answer b = $ 2.25 dollars

             s = $ 1.75 dollars

Please see how to do, it is good to know the answers but if you know how to solve it thats even better!!

Step-by-step explanation:

Let : s = soft tacos

       b = burritos

Step 1: 11.50 = 4s + 2b

           12.00 = 3s +3b

Step 2: Solve using subtraction

12 =3s + 3b

-1 (11.50 = 4s + 2b)  _ times by -1 so you can subtract

-11.50 = -4s -2b      _ once you do this bring the other equation

12.00 = 3s + 3b      _ then subtract/ add

+__

0.50 = -s + b          _ add s to both sides

s + 0.50 = b             _ now you can plug in b into the original equation

12.00 = 3s + 3(s + 0.50)   _distribute the 3 to the s and 0.50

12.00 = 3s + 3s + 1.5          _ add like terms

12.00 = 6s + 1.5                  _ - 1.5 on both sides

-1.5               -1.5

10.5 = 6s                  _ divide by 6 to isolate s

1.75 = s                         _ plug it in to find b

11.5 = 4(1.75) +2b

11.5 = 7 + 2b    _ subtract 7 on both sides

4.5 = 2b         _ divide by 2 on both sides

2.25 = b

Answer b = $ 2.25 dollars

             s = $ 1.75 dollars

linear pair postulates