8th Grade Algebra Answer Check
posted by <3Medic+Droid<3 on .
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!

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
= (450360)/(.75.35) = 90/.4 = 225 
Thank you so much!

c=
600 1
360.75
1 1
.35.75
= 450360
.75.35=90
.4=225