Question 677866
they could not have all ordered large cones
since that adds up to {{{ 2.75*5 = 13.75 }}}
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There can't be 4 large cones since that adds
up to {{{ 2.75*4 = 11 }}} and that would only
leave 65 cents for the 5th cone
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Can there be 3 large cones and 2 mediums?
{{{ 2.75*3 + 2.35*2 = 8.25 + 4.7 }}}
{{{ 8.25 + 4.7 = 12.95 }}} No, that's too much
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Can there be 3 large, 1 medium and 1 small?
{{{ 2.75*3 + 1*2.35 + 1*1.85 = 8.25 + 2.35 + 1.85 }}}
{{{ 8.25 + 2.35 + 1.85 = 12.45 }}} Still too much
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Can there be 3 large and 2 small?
{{{ 2.75*3 + 1.85*2 = 8.25 + 3.7 }}}
{{{ 8.25 + 3.7 = 11.95 }}} Too much
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That means there can be at most 2 large cones
Can there be 2 large and 3 mediums?
{{{ 2.75*2 + 2.35*3 = 5.5 + 7.05 }}}
{{{ 5.5 + 7.05 = 12.55 }}} Too much
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Can there be 2 large and 3 small?
{{{ 5.5 + 3*1.85 = 5.5 + 5.55 }}}
{{{ 5.5 + 5.55 = 11.05 }}} Too low
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Can there be 2 large, 2 small and 1 medium?
{{{ 5.5 + 3.7 + 2.35 = 11.55 }}} Too small
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Can there be 2 large, 2 medium, and 1 small?
{{{ 5.5 + 4.7 + 1.85 = 12.05 }}} Too much
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It looks like there can only be 1 large
Can there be 1 large and 4 mediums?
{{{ 2.75 + 4*2.35 = 2.75 + 9.4 }}}
{{{ 2.75 + 9.4 = 12.15 }}} Too much
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Can there be  1 large, 3 medium, 1 small?
{{{ 2.75 + 3*2.35 + 1.85 = 2.75 + 7.05 + 1.85 }}}
{{{  2.75 + 7.05 + 1.85 = 11.65 }}}
They bought 3 medium cones