8th Grade Algebra Answer Check

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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!

  • 8th Grade Algebra Answer Check -

    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

  • 8th Grade Algebra Answer Check -

    Thank you so much!

  • math -

    c=
    600 1
    360.75

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

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