anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hero
  • Hero
I just responded to a similar question earlier. x + y = 6 .15x + .30y = 6(.25)
anonymous
  • anonymous
What do you do next ?
Hero
  • Hero
This is systems of equations. You find x and y which gives you the amount of gallons of each paint

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anonymous
  • anonymous
Can you explain this step by step I'm having trouble trying to work this out.
Hero
  • Hero
You've never done systems of equations before?
anonymous
  • anonymous
I have but I can't remember how to start or anything . I'm doing poorly in algebra 1 right now :(
Hero
  • Hero
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
anonymous
  • anonymous
Thanks
Hero
  • Hero
I prefer if you think me with medals :D

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