Three grades of milk: 1%, 2%, and 3% fat by volume. X gallons of 1%, y gallons of 2%, and z gallons of 3% are mixed to give x + y + z gallons of 1.5%. What is x in terms of y and z?
oa: y+3z
milk
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- ssmiles08
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you are on the right track:shibal wrote:i try to solve x/100 + 2y/100 + 3z/100 = 3(x+y+z)/200 for x and i don't get y+3z... can someone pls help me?
x/100 + 2y/100 + 3z/100 = 3x/200 + 3y/200 + 3z/200.
(2y/100 - 3y/200) + (3z/100 - 3z/200) = 3x/200 - x/100.
(4y-3y)/200 + (6z - 3z)/200 = (3x - 2x)/200
y/200 + 3z/200 = x/200
Multiply both sides by 200.
y + 3z = x
-hope this helps.