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Math Help - Simple but complicated (at least to me)!

  1. #1
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    Simple but complicated (at least to me)!

    Well, me and my son have been trying to solve a seemingly simple question but we just can not figure out the answer and how that answer is achieved:

    Question:
    Tony has one liter juice mixed with a proportion of 1:3
    Robert also has one liter juice mixed with a proportion of 1:4
    The two (Tony and Robert) mix their juices together in one jug.

    1. What is the proportion of the mixed juice (Tony and Robert's)?
    2. How much water (in deciliters) should be added so that Tony and Robert's mix again assumes the proportion of 1:4?

    I hope some mathematician would be kind enough to help us on this. My son is kind of disappointed that we have not been able to figure out the answers and how to achieve them.

    Regards,
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  2. #2
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    Re: Simple but complicated (at least to me)!

    Quote Originally Posted by rasnas View Post
    Well, me and my son have been trying to solve a seemingly simple question but we just can not figure out the answer and how that answer is achieved:

    Question:
    Tony has one liter juice mixed with a proportion of 1:3
    Robert also has one liter juice mixed with a proportion of 1:4
    The two (Tony and Robert) mix their juices together in one jug.

    1. What is the proportion of the mixed juice (Tony and Robert's)?
    2. How much water (in deciliters) should be added so that Tony and Robert's mix again assumes the proportion of 1:4?

    I hope some mathematician would be kind enough to help us on this. My son is kind of disappointed that we have not been able to figure out the answers and how to achieve them.

    Regards,
    tony ... 1 part juice , 3 parts water

    robert ... 1 part juice , 4 parts water

    mix ... 2 parts juice, 7 parts water

    now, you figure the last question out (it's not that difficult, really) ...

    to achieve a new mix ratio of 1 : 4 , how much water must be added to the mix?
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  3. #3
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    Re: Simple but complicated (at least to me)!

    skeeter, thanks for taking your time. That's what me and my son originally figured out but the answer from the school book is different. According to the book the ratio will be 4.5 parts juice, 15.5 parts water (or rather 1 : 3.45 ratio). That's where we kind of got totally confused.

    Also the answer to question 2 turns out to be 2.5 deciliters water that must be added!

    Of course even if we try to simplify the 2 part juice, 7 parts water to 1 part juice, 3.5 parts water it does not make us wiser.

    How the 4.5 parts to 15.5 part ratio answer to question 1 is still something of an enigma to us!
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  4. #4
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    Re: Simple but complicated (at least to me)!

    Quote Originally Posted by rasnas View Post
    skeeter, thanks for taking your time. That's what me and my son originally figured out but the answer from the school book is different. According to the book the ratio will be 4.5 parts juice, 15.5 parts water (or rather 1 : 3.45 ratio). That's where we kind of got totally confused.

    Also the answer to question 2 turns out to be 2.5 deciliters water that must be added!

    Of course even if we try to simplify the 2 part juice, 7 parts water to 1 part juice, 3.5 parts water it does not make us wiser.

    How the 4.5 parts to 15.5 part ratio answer to question 1 is still something of an enigma to us!
    ok ... I missed the measures in liters. my mistake.

    tony; 0.25 L of juice, 0.75 L of water

    robert; 0.20 L of juice, 0.80 L of water

    mix; 0.45 L of juice , 1.55 L of water ( which gives your 4.5 : 15.5 ratio)

    want new mix to be 1:4 ...

    0.45 L juice , 4(0.45 L) water or 0.45 L juice , 1.80 L water ... so .25 L need to be added to 1.55 L of water to yield the 1.80 L

    ok?
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  5. #5
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    Re: Simple but complicated (at least to me)!

    Quote Originally Posted by skeeter View Post
    ok ... I missed the measures in liters. my mistake.

    tony; 0.25 L of juice, 0.75 L of water

    robert; 0.20 L of juice, 0.80 L of water

    mix; 0.45 L of juice , 1.55 L of water ( which gives your 4.5 : 15.5 ratio)

    want new mix to be 1:4 ...

    0.45 L juice , 4(0.45 L) water or 0.45 L juice , 1.80 L water ... so .25 L need to be added to 1.55 L of water to yield the 1.80 L

    ok?
    Yes skeeter, that was very nice. We really appreciate your help!
    Best regards:=))
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