How do you solve this Algebra problem?

calicali
in Education & Reference

A company bakes cupcakes and makes fudge. It takes 8 minutes to cook cupcakes and 12 minutes to cook fudge. The company bakes x cupcakes and y fudge in 730 minutes. Write an equation in standard form to model the scenario. Change the equation to slope-intercept form.

Update:

I thought you were supposed to divide the 730 too...

Comments

  • anonymousanonymous

    8x + 12y = 730

    Slope intercept would be:

    Y= -3/4 x + 730

  • marinegeekmarinegeek

    Well, let's say:

    x=number of cupcakes

    y= number of fudge

    The standard form would be

    8x+12y=730

    because it takes 8 mins. for cupcakes, 12 mins. for fudge. It's hard to explain but if you look at it long enough, it makes sense.

    Now, slope-intercept.

    First, subtract each side by 8x.

    12y = -8x+730

    You can't have 12y, only plain y. So what do you do? Divide by 12.

    y = -8/12x + 60 5/6

    Simplify

    y = -2/3x + 365/6

    Hope I helped :)

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