Write System of Equation from Context

Question

Write System of Equations from Context

Parker owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $7. Yesterday Parker made a total of $552 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.

I need

Let __=_______________________

Let __=_______________________

and

The Systems of Equations

____________________

____________________

Answer 1

Write System of Equation from Context

Write System of Equations from Context

Parker owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $7. Yesterday Parker made a total of $552 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.

I need

Let _T_=__Number of Tacos sold_____

Let _B_=__Number of Burritos sold___

and

The Systems of Equations

_3.25(T) + 7(B) =552______

__2T = B_________

From these two EQUATIONS, you have 2 equations and 2 unknowns. This IS one of the important concepts of solving systems of equations. For resolution, the number of equations is the same as the number of UNKNOWNS.

Answer 2

We're going to let t= number of tacos sold and let b= number of burritos sold.

We know that all together, Parker made $552 in revenue.

The amount he made just from tacos is $3.25t (cost of each taco multiplied by number of tacos sold)

The amount he made just from burritos is $7.00b (cost of each burrito multiplied by number of burritos sold)

Thus, our first equation can be as follows:

$552= $3.25t + $7.00b

Because he sold twice as many burritos as tacos, we can say that b=2t (if it helps, you can also think of it as the number of tacos sold being half that of the number of burritos sold: t=1/2b)

Thus, our second equation can be as follows:

b=2t

To recap, our system of equations can be written as

$552= $3.25t + $7.00b

b=2t

By using this system of equations, we would be able to solve for both b and t, which would allow us to find how many burritos and tacos Parker sold.

Hope this helps!