document.write( "Question 587573: Julie bought donuts for a party - 1/6 of the donuts were jelly donuts, 1/3 of the donuts were cinnamon donuts, and 5/6 of the remainder were glazed donuts. Julie bought 20 glazed donuts. How many donuts did Julie buy in all? \n" ); document.write( "

Algebra.Com's Answer #374163 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the number of donuts she bought
\n" ); document.write( " $\"+x%2F6+\"$ = number of jelly donuts
\n" ); document.write( " $\"+x%2F3+\"$ = cinnamon donuts
\n" ); document.write( "-----------------------
\n" ); document.write( "To find the fraction of donuts that are left,
\n" ); document.write( "So far there are $\"+1%2F6+%2B+2%2F6+=+%283%2F6%29%2Ax+\"$ and
\n" ); document.write( " $\"+%283%2F6%29%2Ax+=+%281%2F2%29%2Ax+\"$
\n" ); document.write( "So 1/2 of the donuts are left
\n" ); document.write( " $\"+%285%2F6%29%2A%281%2F2%29%2Ax+\"$ are glazed donuts and
\n" ); document.write( " $\"%285%2F6%29%2A%281%2F2%29%2Ax+=+20+\"$
\n" ); document.write( " $\"+%285%2F12%29%2Ax+=+20+\"$
\n" ); document.write( " $\"+x+=+%2812%2F5%29%2A20+\"$
\n" ); document.write( " $\"+x+=+48+\"$
\n" ); document.write( "She bought 48 donuts
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+48%2F6+=+8+\"$ = number of jelly donuts
\n" ); document.write( " $\"+48%2F3+=+16+\"$ = cinnamon donuts
\n" ); document.write( " $\"+8+%2B+16+=+24+\"$
\n" ); document.write( "There are $\"+48+-+24+=+24+\"$ donuts left
\n" ); document.write( " $\"+%285%2F6%29%2A24+=+20+\"$ are glazed donuts
\n" ); document.write( "There are 4 donuts of unknown type
\n" ); document.write( "OK \n" ); document.write( "

\n" );