document.write( "Question 1188617: Patrick bought a bag of sweets.
\n" ); document.write( "3/8 of the sweets were apple-flavoured and the rest were
\n" ); document.write( "strawberry-flavoured.
\n" ); document.write( "After giving away 8/9 of the apple-flavoured sweets and 42
\n" ); document.write( "strawberry-flavoured sweets to his friends, he had 1/12 of the sweets
\n" ); document.write( "left.
\n" ); document.write( "Patrick paid $0.20 for each sweet.
\n" ); document.write( "How much did Patrick pay for the bag of sweets at first?
\n" ); document.write( "

Algebra.Com's Answer #819746 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Patrick bought a bag of sweets.
\n" ); document.write( "let s = original number of sweet
\n" ); document.write( "3/8 of the sweets were apple-flavoured and the rest were strawberry-flavoured.
\n" ); document.write( "\"3%2F8\"s = no. of apple flavored
\n" ); document.write( "\"5%2F8\"s = no. of strawberry flavored
\n" ); document.write( ":
\n" ); document.write( "After giving away 8/9 of the apple-flavoured sweets and 42 strawberry-flavoured
\n" ); document.write( "sweets to his friends, he had 1/12 of the sweets left.
\n" ); document.write( " he had (1/9)s left therefore
\n" ); document.write( "(\"1%2F9\"*\"3%2F8\"s) + (\"5%2F8\"s - 42) = \"1%2F12\"s
\n" ); document.write( "\"3%2F72\"s + \"5%2F8\"s = \"1%2F12\"s + 42
\n" ); document.write( "Common denominator is 24, rearrange to:
\n" ); document.write( "\"1%2F24\" + \"15%2F24\" - \"2%2F24\" = 42
\n" ); document.write( "\"14%2F24\"s = 42
\n" ); document.write( "get rid of the denominator, multiply b 24
\n" ); document.write( "14s = 1008
\n" ); document.write( "s = 1008/14
\n" ); document.write( "s = 72 sweets originally
\n" ); document.write( ":
\n" ); document.write( "Patrick paid $0.20 for each sweet.
\n" ); document.write( "How much did Patrick pay for the bag of sweets at first?
\n" ); document.write( "72 * .20 = $14.40
\n" ); document.write( ":
\n" ); document.write( "
\n" ); document.write( "
\n" );