VzDeath
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Sagot :

ch33zymanjow
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
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
We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.