## 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...

1. Mertsj

You need to state the problem correctly. 75 % quarts of 2% butterfat milk makes no sense.

i meant 75 quarts not %...sorry...

3. Mertsj

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.

why is it 74-x?

5. Mertsj

It's not. It's 75-x

6. Mertsj

Sorry for the typo

oh ok! its fine

thank you!!!!!!

9. Mertsj

yw

do you do distributive property first?

11. Mertsj

I would multiply each term by 100 to get rid of those decimals

event he numbers that aren't decimals multiply by 100?

including x?

14. Mertsj

each term. There are two terms on the left and one term on the right

i dont understand

16. Mertsj

|dw:1352079284539:dw|

18. Mertsj

That's not what I got. Post your work.

19. Mertsj

And I will see what you did wrong.

4x+1(75-x)=2(75) 7x+75-x=150 6x+75=150 6x=75 x=12.5

21. Mertsj

Where did you get 7 x?

22. Mertsj

4x+75-x=150 3x=75 x=25

i have no idea why i wrote that. haha. okay i tried again and got 25?

how would i find the 1%?

im so confused ;(

26. Mertsj

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.?

yes

so it should be 1x instead of 4x? so 1x+1(75-x0-2(75)?

0) *

sorry. 1x+1(75-x)=2(75) ?

31. Mertsj

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.