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maddie.jones47563

  • 3 years ago

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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  1. Mertsj
    • 3 years ago
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    You need to state the problem correctly. 75 % quarts of 2% butterfat milk makes no sense.

  2. maddie.jones47563
    • 3 years ago
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    i meant 75 quarts not %...sorry...

  3. Mertsj
    • 3 years ago
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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.

  4. maddie.jones47563
    • 3 years ago
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    why is it 74-x?

  5. Mertsj
    • 3 years ago
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    It's not. It's 75-x

  6. Mertsj
    • 3 years ago
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    Sorry for the typo

  7. maddie.jones47563
    • 3 years ago
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    oh ok! its fine

  8. maddie.jones47563
    • 3 years ago
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    thank you!!!!!!

  9. Mertsj
    • 3 years ago
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    yw

  10. maddie.jones47563
    • 3 years ago
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    do you do distributive property first?

  11. Mertsj
    • 3 years ago
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    I would multiply each term by 100 to get rid of those decimals

  12. maddie.jones47563
    • 3 years ago
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    event he numbers that aren't decimals multiply by 100?

  13. maddie.jones47563
    • 3 years ago
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    including x?

  14. Mertsj
    • 3 years ago
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    each term. There are two terms on the left and one term on the right

  15. maddie.jones47563
    • 3 years ago
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    i dont understand

  16. Mertsj
    • 3 years ago
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    |dw:1352079284539:dw|

  17. maddie.jones47563
    • 3 years ago
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    is the answer 12.5?

  18. Mertsj
    • 3 years ago
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    That's not what I got. Post your work.

  19. Mertsj
    • 3 years ago
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    And I will see what you did wrong.

  20. maddie.jones47563
    • 3 years ago
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    4x+1(75-x)=2(75) 7x+75-x=150 6x+75=150 6x=75 x=12.5

  21. Mertsj
    • 3 years ago
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    Where did you get 7 x?

  22. Mertsj
    • 3 years ago
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    4x+75-x=150 3x=75 x=25

  23. maddie.jones47563
    • 3 years ago
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    i have no idea why i wrote that. haha. okay i tried again and got 25?

  24. maddie.jones47563
    • 3 years ago
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    how would i find the 1%?

  25. maddie.jones47563
    • 3 years ago
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    im so confused ;(

  26. Mertsj
    • 3 years ago
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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.?

  27. maddie.jones47563
    • 3 years ago
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    yes

  28. maddie.jones47563
    • 3 years ago
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    so it should be 1x instead of 4x? so 1x+1(75-x0-2(75)?

  29. maddie.jones47563
    • 3 years ago
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    0) *

  30. maddie.jones47563
    • 3 years ago
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    sorry. 1x+1(75-x)=2(75) ?

  31. Mertsj
    • 3 years ago
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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.

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