Josh and Racquel sold corn dogs and burritos at the math club fundraiser. The corn dogs(c) cost $.35, and the burritos(b) cost $.75. They sold a total of 600 items, and raised $360.

Question

Josh and Racquel sold corn dogs and burritos at the math club fundraiser. The corn dogs(c) cost $.35, and the burritos(b) cost $.75. They sold a total of 600 items, and raised $360.
a)Write an equation for the total # of items sold.
b)Write and equation for the total cost of the items.
c) The equations form a system. Solve the system to find the # of corn dogs and burritos sold.

~my answers~
a) c+b=600
b)$.35c+$.75b=$360
c) c=225
   b=375

Firstly, I find it weird to sell corn dogs and burritos together. Still, I would love to know if I got it right.

Oh and what is a matrix? I have to make one for the system, but i can't even remember what they are! (how the heckz did i pass my finals?!?)

Anyway, any help would be very much appreciated. Thanks!

drwls · Answer

Your answers are correct.

A matrix is a set of rows and columns of numbers. In this case the numbers of the matrix would be the coefficients of c and b in the two equations, or the coefficients of one variable and the sum. They can be used to solve systems of linear equations such as these. For example

c =
|600 1|
|360 .75|
__________
|1 1|
|.35 .75|

= (450-360)/(.75-.35) = 90/.4 = 225

<3Medic+Droid<3 · Answer

Thank you so much!

christeria · Answer

c= 600 1 360.75 1 1 .35.75 = 450-360 .75-.35=90 .4=225