document.write( "Question 661971: PLEASE HELP!!!ASAP!! When mixed, a 12 ounce can of concentrate makes 64 ounces of orange juice. If each serving is 8 ounces, explain & find the number of cans of concentrate needed to make 240 servings. \n" ); document.write( "

Algebra.Com's Answer #411912 by KMST(5328) $\"\"$ $\"About$

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One can makes $\"64ounces\"$ , which amounts to
\n" ); document.write( " $\"64%2Aounces%2F8ounces=8\"$ servings
\n" ); document.write( "(We are dividing those 64 ounces into 8 ounce servings and get 8 servings).
\n" ); document.write( "
\n" ); document.write( "Since one can produces 8 servings, 240 servings will require
\n" ); document.write( " $\"240%2Aservings%2F8servings=highlight%2830%29\"$ cans
\n" ); document.write( "(We are dividing the 240 servings 8 servings amounts, which we know is what comes out of one can).
\n" ); document.write( "
\n" ); document.write( "I am hoping that is considered enough of an explanation.
\n" ); document.write( "If I had been in your class, I could guess what your teacher expects.
\n" ); document.write( "If more explanation is needed, I have 2 ideas:
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\n" ); document.write( "Multiplications are easy to use and understand.
\n" ); document.write( "It is easy to see that ounces per serving.
\n" ); document.write( "multiplied times number of servings,
\n" ); document.write( "gives total amount in ounces.
\n" ); document.write( "It is harder to figure out that when you know the product of that multiplication
\n" ); document.write( "(the total amount in ounces),
\n" ); document.write( "and one of the factors (ounces per serving or number of servings),
\n" ); document.write( "you need to divide by the known factor to find the other factor.
\n" ); document.write( "Division is the inverse operation of multiplication,
\n" ); document.write( "and since it takes two numbers/factors to get a multiplication,
\n" ); document.write( "it is associated with two divisions.
\n" ); document.write( "If you consider number of cans, servings per can, and total number of servings,
\n" ); document.write( "having two of those three pieces of information, we should be able to find the third one.
\n" ); document.write( "To find how many servings we can get if we use $\"30\"$ cans and each can makes $\"8\"$ servings, we multiply.
\n" ); document.write( "If you get $\"8\"$ servings per can, and use $\"30\"$ cans,
\n" ); document.write( "you will make $\"8%2A30=240\"$ servings.
\n" ); document.write( "The divisions associated with that multiplication answer the two questions below.
\n" ); document.write( "How many servings can we get from each can if $\"30\"$ cans produce $\"240\"$ servings?
\n" ); document.write( " $\"240%2F30=8\"$ servings.
\n" ); document.write( "How many cans do we need for $\"240\"$ servings, if each can produces $\"8\"$ servings?
\n" ); document.write( " $\"240%2F8=30\"$ servings.
\n" ); document.write( "
\n" ); document.write( "Maybe your teacher expects something like this:
\n" ); document.write( "

\n" ); document.write( "where the \"units\" (servings, and ounces) appear in numerator and denominator, and seem to \"cancel out\", so the only \"unit\" left is \"cans.\"
\n" ); document.write( "Sometimes teachers do that stuff (it's used a lot in chemistry), and they may even call it \"dimensional analysis\" or something like that. \n" ); document.write( "

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