maddie.jones47563
find how many quarts of 4% butterfat milk and 1 % butterfat milk should be mixed to yield 75% quarts of 2 % butterfat milk.
i have no idea how to even begin this problem...
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Mertsj
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You need to state the problem correctly. 75 % quarts of 2% butterfat milk makes no sense.
maddie.jones47563
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i meant 75 quarts not %...sorry...
Mertsj
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Let x = number of quarts of 4% milk to use.
Then 75-x = number of quarts of 1% milk to use.
.04x = butterfat in the x quarts of 4% milk
.01(75-x)= butterfat in the 75-x quarts of 1% milk
.02(75)= butterfat in the final 75 quarts of milk.
So:
.04x+.01(74-x)=.02(75)
Solve it and you will have the number of quarts of 4% milk to use.
maddie.jones47563
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why is it 74-x?
Mertsj
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It's not. It's 75-x
Mertsj
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Sorry for the typo
maddie.jones47563
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oh ok! its fine
maddie.jones47563
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thank you!!!!!!
Mertsj
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yw
maddie.jones47563
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do you do distributive property first?
Mertsj
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I would multiply each term by 100 to get rid of those decimals
maddie.jones47563
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event he numbers that aren't decimals multiply by 100?
maddie.jones47563
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including x?
Mertsj
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each term. There are two terms on the left and one term on the right
maddie.jones47563
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i dont understand
Mertsj
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|dw:1352079284539:dw|
maddie.jones47563
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is the answer 12.5?
Mertsj
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That's not what I got.
Post your work.
Mertsj
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And I will see what you did wrong.
maddie.jones47563
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4x+1(75-x)=2(75)
7x+75-x=150
6x+75=150
6x=75
x=12.5
Mertsj
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Where did you get 7 x?
Mertsj
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4x+75-x=150
3x=75
x=25
maddie.jones47563
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i have no idea why i wrote that. haha. okay i tried again and got 25?
maddie.jones47563
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how would i find the 1%?
maddie.jones47563
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im so confused ;(
Mertsj
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Do you remember when I wrote that x = the amount of 4% milk to use and that 75-x = the amount of 1% milk to use.?
maddie.jones47563
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so it should be 1x instead of 4x? so 1x+1(75-x0-2(75)?
maddie.jones47563
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sorry. 1x+1(75-x)=2(75) ?
Mertsj
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So x = 25 and x is the amount of 4% milk to use.
75-x=75-25=50 and 75-x is the amount of 1% milk to use.