Algebra.Com's Answer #854221 by ikleyn(53751)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
.
\n" );
document.write( "A donut shop sold 3/5 of their glazed donuts in the morning.
\n" );
document.write( "In the afternoon, they sold 5/6 of the remaining glazed donuts.
\n" );
document.write( "The ratio of the remaining glazed donuts to the remaining chocolate donuts was 2:7.
\n" );
document.write( "If they had 42 chocolate donuts left, how many total donuts (glazed + chocolate) did the shop have
\n" );
document.write( "at the very beginning?
\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "\r\n" );
document.write( "Let 'x' be the number of glazed donuts in the chop at the very beginning.\r\n" );
document.write( "Let 'c' be the number of remaining chocolate donuts, which number is mentioned in the problem: c = 42.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In the morning the shop sold  of their glazed donuts.\r\n" );
document.write( "Hence,  glazed donuts remained.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Of this glazed donuts,  were sold afternoon.\r\n" );
document.write( "So,  =  glazed donuts were sold afternoon.\r\n" );
document.write( "\r\n" );
document.write( "Thus + =  =  glazed donuts \r\n" );
document.write( "were sold during the day, and  glazed donut remained at the evening.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "From the condition, we can write\r\n" );
document.write( "\r\n" );
document.write( "  =  , or  = ,\r\n" );
document.write( "\r\n" );
document.write( "which gives \r\n" );
document.write( "\r\n" );
document.write( " x =  .\r\n" );
document.write( "\r\n" );
document.write( "Substitute here c= 42 to get \r\n" );
document.write( "\r\n" );
document.write( " x =  = 2*15*6 = 180.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, the starting number of the glazed donuts was 180 at the very beginning.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is what we can get from the given problem, using all given information.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But we have no any other data to determine the number of the chocolate donuts at the very beginning.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, in the given form, the problem is DEFECTIVE and does not allow to answer the posed question.\r\n" );
document.write( " \r
\n" );
document.write( "\n" );
document.write( "Analyzed as far as it is possible with explanation WHY the problem is FAULT.\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |