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25 September, 14:41

Michael bought four tacos and a burrito and paid $9.50. Noah bought two tacos and three burritos and paid $11. Based on the information, what is the cost of one taco?

$1.00

$1.50

$1.75

$2.50

+5
Answers (2)
  1. 25 September, 14:59
    0
    2t+3b=11 (1) * 2

    4t+b=9.5 (2)

    4t+6b=22 (3)

    (3) - (2)

    5b=12.5

    b=2.5

    4t+2.5=9.5 (2)

    4t=7

    taco=$1.75
  2. 25 September, 15:07
    0
    In order to solve this equation you could use guess and check with multiple choice, or you can set up a system of equations.

    First we must define our variables:

    x=price of taco

    y=price of burrito

    Michael bought 4 tacos (4x) and (+) and Burrito (y) for $9.50 (=9.5)

    4x+y=9.50

    Noah bought two tacos (2x) and (+) three burritos (3y) for (=) $11 (11)

    2x+3y=11

    To solve this system of equations you can easily see substitution as the easiest method. For substitution we must isolate one variable:

    4x+y=9.50

    y=-4x+9.5

    We can now replace the y in the other equation:

    2x+3 (-4x+9.5) = 11

    Then solve this equation to get the price of a taco (x)

    2x-12x+28.5=11

    -10x=-17.5

    x=1.75

    The price of a taco would be $1.75
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