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14 February, 03:34

Franklin sold water bottles in two sizes, large ($2.50 each) and regular ($1 each). He sold 113 bottles altogether and collected $221 dollars. How many bottles of each type did he sell?

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  1. 14 February, 03:42
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    Let's make a system of equations.

    1 large bottle = l

    1 regular bottle = r

    l + r = 113

    221 = 2.5l + r

    Isolate r in the first equation and substitute it into the second equation:

    l + r = 113

    r = 113 - l

    ---

    221 = 2.5l + 113 - l

    221 = 1.5l + 113

    108 = 1.5l

    72 = l

    Now, substitute that back into the first equation:

    l + r = 113

    72 + r = 113

    r = 41

    Finally, check your work by substituting back into both equations:

    72 + 41 = 113 - - > 113 = 113 < - - True

    221 = 2.5 (72) + 41 - - > 221 = 180 + 41 <--True

    Answer:

    Franklin sold 72 large bottle of water and 41 regular-sized bottles of water.
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