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How much alfalfa does Helmut need to add to 30L of ostrich pellets to make a feed mix that is 40% alfalfa by volume?
I have the formula down, the answer sheet says the answer is 20L.

How much alfalfa does Helmut need to add to 30L of ostrich pellets to make a feed mix that is 40 alfalfa by volume I have the formula down the answer sheet says class=

Respuesta :

sqdancefan

Answer:

  a = 20 . . . . liters

Step-by-step explanation:

To solve this, multiply the equation by 30+a:

  a = 0.4(30 +a)

  a = 12 + 0.4a . . . . . eliminate parentheses

  0.6a = 12 . . . . . . . . subtract 0.4a

  a = 12/0.6 = 20 . . . divide by the coefficient of a

20 L of alfalfa must be added

_____

Check

  20/(30+20) = 20/50 = 40/100 = 0.4 . . . . . . answer checks OK

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