Math

SymphonynSonata
SymphonynSonata Posts: 533 Member
in Chit-Chat
Container A is 250ml and contains a mixture of milk and water; it is 30% milk to 70% water. Container B is 250ml and contains 100% milk. Container C is 250ml. How much milk from container B do I have to mix to have 70% milk and 30% water?

All jars are full except for container C. Container C will be where it is mixed.


---

I've found a calculator that says I would need to add 107.11ml of the 30/70 and 132.89ml of the pure milk to arrive at 70.01/29.99. I don't know how to arrive to this.

Replies

  • rpmtnbkr
    rpmtnbkr Posts: 137 Member
    175ml
  • goldenbeautyxo
    goldenbeautyxo Posts: 23 Member
    175 ml =D
    Am I right??!?
  • SGM_Adonis
    SGM_Adonis Posts: 1,565 Member
    Given that cow's milk is already at 80% water...the jar isn't big enough.
  • SymphonynSonata
    SymphonynSonata Posts: 533 Member
    I've found a calculator that says I would need to add 107.11ml of the 30/70 and 132.89ml of the pure milk to arrive at 70.01/29.99. I don't know how to arrive to this.
  • KrazyDaizy
    KrazyDaizy Posts: 815 Member
    Math is hard. I'm just going to sit here and look pretty.
    Giggle_zps1f112eab.gif
  • Forty6and2
    Forty6and2 Posts: 2,492 Member
    I'm just here because I'm not wearing my glasses and thought the title was "meth." I. Am. Disappoint.
  • SymphonynSonata
    SymphonynSonata Posts: 533 Member
    Edited top post to include my later posts

    and to bump this for the higher chance of someone answering
  • HonestLeigh
    HonestLeigh Posts: 8 Member
    You need 142.86ml of the 30% milk solution, and 107.14 ml of the 100% milk solution for 250ml of 70% milk.

    Sounds like an awful lot of work, though... :smile:
  • SymphonynSonata
    SymphonynSonata Posts: 533 Member
    You need 142.86ml of the 30% milk solution, and 107.14 ml of the 100% milk solution for 250ml of 70% milk.

    Sounds like an awful lot of work, though... :smile:

    Your answer is really close to what the calculator said! (107.11ml of the 30/70 and 132.89ml of the pure milk to arrive at 70.01/29.99), just kinda backwards? Maybe I'm backwards? How'd you get to this?
  • Isabel_Fit93
    Isabel_Fit93 Posts: 50
    3/7A + 4/7B

    107ml A + 143ml B
  • SymphonynSonata
    SymphonynSonata Posts: 533 Member
    3/7A + 4/7B

    107ml A + 143ml B

    HOWWWWWWWWWWWW
  • NoMoreStretchyPants
    NoMoreStretchyPants Posts: 307
    2r6ee86.jpg
  • erickirb
    erickirb Posts: 12,294 Member
    depends, if you have to mix the 2 together you would need 57.1% of B and 42.9% of A, this would give you a full 250ml jar C that would end up being 70% just milk... there is a little rounding as this just gives you 69.97% Milk
  • miss_jessiejane
    miss_jessiejane Posts: 2,819 Member
    I'm just here because I'm not wearing my glasses and thought the title was "meth." I. Am. Disappoint.

    I thought it was about meth too!!
  • 1PatientBear
    1PatientBear Posts: 2,089 Member
    Just break up.
  • Isabel_Fit93
    Isabel_Fit93 Posts: 50
    3/7A + 4/7B

    107ml A + 143ml B

    HOWWWWWWWWWWWW

    All the containers are 250ml so you can just use the percentages to work out how much you need which is easier!

    If container A has 70% water and you want 30% water in container C, then you need to divide 30 by 70 to find out what ratio you need. So 3/7 x 70% = 30%

    As container B is entirely milk, you just need to fill container C to 100% and what's in it must be 70% milk because you've already worked out the 30% water.

    So if you've got 3/7 of A, to make 100% of C, you'll need 4/7 of B.
  • Slacker16
    Slacker16 Posts: 1,184 Member
    Container A is 250ml and contains a mixture of milk and water; it is 30% milk to 70% water. Container B is 250ml and contains 100% milk. Container C is 250ml. How much milk from container B do I have to mix to have 70% milk and 30% water?

    All jars are full except for container C. Container C will be where it is mixed.
    Not sheriff srs.

    xA + xB = 250
    xA*0.7 = 250*0.3

    Solve.

    ETA:
    Gandalfina above me!
  • HonestLeigh
    HonestLeigh Posts: 8 Member
    I hope I can explain it without the chart that I use...

    The common factor in the two solutions is the milk, so consider one to be 100% milk and one to be 30% milk. When combined, you want to create a 70% solution, therefore you subtract 70 from each of the percentages to determine how many parts of each solution you need:

    100-70=30 parts of the 100% solution
    70-30=40 parts of the 30% solution.

    When you add the parts together, that will equal the total amount of solution you want to create:

    30+40=70 parts -- 70 parts=250ml (since that is the container size you have)

    From there, it is a conversion equation:

    70 parts/250ml = 40 parts/x ml

    Cross multiply and divide. Once you know how many ml of the 30% solution you need (the 40 parts), you can subtract that number from 250 to determine how much of the other solution (100%) you need.

    And now I need more caffeine. Too much math! :laugh:
  • BusyRaeNOTBusty
    BusyRaeNOTBusty Posts: 7,166 Member
    But why are you mixing water with milk?
  • capnrus789
    capnrus789 Posts: 2,736 Member
    No mas pantalones!
  • Cliffslosinit
    Cliffslosinit Posts: 5,044 Member
    Math is Hard and I just went....
    2utktw0.jpg
  • KrazyDaizy
    KrazyDaizy Posts: 815 Member
    No mas pantalones!
    I don't speak Chinese, but did you say something about missing your pants.
  • Saucy_lil_Minx
    Saucy_lil_Minx Posts: 3,302 Member
    Math is hard. I'm just going to sit here and look pretty.
    Giggle_zps1f112eab.gif

    Brain hurt......can't figure out...... OOO look David Boreanaz yum!!
  • capnrus789
    capnrus789 Posts: 2,736 Member
    No mas pantalones!
    I don't speak Chinese, but did you say something about missing your pants.
    Rus - pants = no mas pantalones

    No me gustan math. No es bueno. Cervesa por favor? Grassy *kitten*.
  • SymphonynSonata
    SymphonynSonata Posts: 533 Member
    I hope I can explain it without the chart that I use...

    The common factor in the two solutions is the milk, so consider one to be 100% milk and one to be 30% milk. When combined, you want to create a 70% solution, therefore you subtract 70 from each of the percentages to determine how many parts of each solution you need:

    100-70=30 parts of the 100% solution
    70-30=40 parts of the 30% solution.

    When you add the parts together, that will equal the total amount of solution you want to create:

    30+40=70 parts -- 70 parts=250ml (since that is the container size you have)

    From there, it is a conversion equation:

    70 parts/250ml = 40 parts/x ml

    Cross multiply and divide. Once you know how many ml of the 30% solution you need (the 40 parts), you can subtract that number from 250 to determine how much of the other solution (100%) you need.

    And now I need more caffeine. Too much math! :laugh:

    Thank you so much (and everyone else too!) I tried to follow this on paper and got kinda confused in the last part. I cross multiplied, but IDK if I did that right. I ended up with:

    70 40
    ---- x
    = 70x/10000 which I worked down to 7/1000, then divided and got .007
    250 x

    and then I got completely lost :(
  • EddieHaskell97
    EddieHaskell97 Posts: 2,227 Member
    006SelT.png

    This problem is worded poorly, and whomever initially wrote it should be made an indentured servant to a "Mathnasium" . :sick:



    :Edited to resize image for MFP borders:
  • _101010_
    _101010_ Posts: 121
    I knew my math degree would come in handy one day but now I just cant be bothered. TL;DR
  • EddieHaskell97
    EddieHaskell97 Posts: 2,227 Member
    I knew my math degree would come in handy one day but now I just cant be bothered. TL;DR

    Love your username! Life, the Universe and Everything! :drinker:

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