document.write( "Question 1184379: The cost of a belt is 2/5 of the cost of a wallet. The wallet cost 3/5 the price of a bag. If the bag cost $380 more than the belt, how much does the wallet cost? \n" ); document.write( "
Algebra.Com's Answer #814939 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Take a moment to read the problem and digest the given information to find a way to set the problem up so that it will be easy to solve.

\n" ); document.write( "The bag is the most expensive of the three items, so....

\n" ); document.write( "Let x = cost of the bag
\n" ); document.write( "Then (3/5)x = cost of the wallet
\n" ); document.write( "Then (2/5)((3/5)x) = (6/25)x = cost of the belt

\n" ); document.write( "The cost of the bag was $380 more than the cost of the belt:

\n" ); document.write( "\"x+=+%286%2F25%29x%2B380\"
\n" ); document.write( "\"%2819%2F25%29x+=+380\"
\n" ); document.write( "\"x+=+380%2825%2F19%29=20%2A25+=+500\"

\n" ); document.write( "The cost of the wallet was 3/5 the cost of the bag:

\n" ); document.write( "\"%283%2F5%29%28500%29=300\"

\n" ); document.write( "ANSWER: The cost of the wallet was $300.

\n" ); document.write( "CHECK:
\n" ); document.write( "bag: x=$500
\n" ); document.write( "wallet: 3/5 of $500 = $300
\n" ); document.write( "belt: 2/5 of $300 = $120
\n" ); document.write( "bag-belt = $500-$120 = $380

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