document.write( "Question 1162077: At intermission, Xavier sold refreshments. Of the items he had, 1/5 were granola bars and 1/2 of the remaining items were containers of popcorn. The rest were divided equally among apples, rice cake, and containers of yogurt. Xavier sold the 8 apples he had. How many items did he originally have? \n" ); document.write( "

Algebra.Com's Answer #785789 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Let x = no. of items he had originally
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\n" ); document.write( "Of the items he had, 1/5 were granola bars and 1/2 of the remaining items were containers of popcorn.
\n" ); document.write( "half of the remaining items $\"4%2F5\"$ x * $\"1%2F2\"$ = $\"2%2F5\"$ x were popcorn
\n" ); document.write( ":
\n" ); document.write( " The rest were divided equally among apples, rice cake, and containers of yogurt.
\n" ); document.write( " Xavier sold the 8 apples he had.
\n" ); document.write( "This means the rest were a total of 3(8) = 24 items
\n" ); document.write( ":
\n" ); document.write( " How many items did he originally have
\n" ); document.write( ":
\n" ); document.write( "x = bars + popcorn + the rest
\n" ); document.write( "x = $\"1%2F5\"$ x + $\"2%2F5\"$ x + 24
\n" ); document.write( "x = $\"3%2F5\"$ + 24
\n" ); document.write( "x - $\"3%2F5\"$ x = 24
\n" ); document.write( " $\"2%2F5\"$ x = 24
\n" ); document.write( "multiply both sides by 5
\n" ); document.write( "3x = 120
\n" ); document.write( "x = 120/3
\n" ); document.write( "x = 40 items total\r
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