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anonymous

  • 5 years ago

A paint mixer wants to mix paint that is 15% gloss with paint that is 30% gloss to make 6 gallons that is 25% gloss. How many gallons of each paint should the paint mixer mix together?

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  1. Hero
    • 5 years ago
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    I just responded to a similar question earlier. x + y = 6 .15x + .30y = 6(.25)

  2. anonymous
    • 5 years ago
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    What do you do next ?

  3. Hero
    • 5 years ago
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    This is systems of equations. You find x and y which gives you the amount of gallons of each paint

  4. anonymous
    • 5 years ago
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    Can you explain this step by step I'm having trouble trying to work this out.

  5. Hero
    • 5 years ago
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    You've never done systems of equations before?

  6. anonymous
    • 5 years ago
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    I have but I can't remember how to start or anything . I'm doing poorly in algebra 1 right now :(

  7. Hero
    • 5 years ago
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    Okay, but take notes... Using given equations: x + y = 6 .15x + .30y = 6(.25) Write each equation in terms of y as follows: y = 6 - x y = (1.5 - .15x)/.30 Next set expressions y = y, then cross multiply: .30(6 - x) = 1.5 - .15x Now solve for x: 1.8 - .30x = 1.5 = .15x .3 = .15x .3/.15 = x 2 = x 2 gallons of paint for the 15% gloss Now substitute x back into the original equation to solve for y: 2 + y = 6 y = 6 - 2 y = 4 4 gallons of paint for the 30% gloss

  8. anonymous
    • 5 years ago
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    Thanks

  9. Hero
    • 5 years ago
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    I prefer if you think me with medals :D

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