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Three grades of milk are 1 percent, 2 percent, and 3 percent

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Manager
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Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink] New post 05 May 2006, 09:03
Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?

please explain your solution as clearly as possible.
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Re: mixture II [#permalink] New post 05 May 2006, 17:49
kuristar wrote:
Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?

please explain your solution as clearly as possible.


0.01x+0.02y+0.03z=0.015(x+y+z)
0.02y-0.015y+0.03z-0.015z= 0.015x-0.01x
0.005y+0.015z= 0.005x
0.005(y+3z)= 0.005x
x = y+3z
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 [#permalink] New post 07 May 2006, 12:34
Agree x = y + 3z :wink:
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 [#permalink] New post 08 May 2006, 08:28
Agree wil prof:
x/100+2y/100+3z/100=3/2*(x+y+z)
x+2y+3z=3/2*(x+y+z)
2x+4y+6z=3x+3y+3z
-x+y+3z=0
x=3z+y
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 [#permalink] New post 08 May 2006, 09:58
Is it ok to sovle it like this?

x+2y+3z= 1.5(x+y+z)
.5(y+3zy)= .5x
x=y+3z
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 [#permalink] New post 08 May 2006, 10:18
I am also agree x=y+3z
ma466
  [#permalink] 08 May 2006, 10:18
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