document.write( "Question 1169656: Hi\r
\n" ); document.write( "\n" ); document.write( "Bob bought forks and spoons in the ratio of 4:3 respectively. They were bought for 156 dollars. The spoons cost 50 cents more than each fork. The amount he spent on the forks were 12 dollars more than the spoons.\r
\n" ); document.write( "\n" ); document.write( "How much did he spend on the spoons
\n" ); document.write( "How many forks and spoons did he buy.\r
\n" ); document.write( "\n" ); document.write( "Thanks \r
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Algebra.Com's Answer #794456 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
Bob bought forks and spoons in the ratio of 4:3 respectively. They were bought for 156 dollars.
\n" ); document.write( "The spoons cost 50 cents more than each fork. The amount he spent on the forks were 12 dollars more than the spoons.
\n" ); document.write( "(a) How much did he spend on the spoons
\n" ); document.write( "(b) How many forks and spoons did he buy.\r
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\n" ); document.write( "\n" ); document.write( "Part (a)\r
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document.write( "Let x be the amount spent on the spoons.\r\n" );
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document.write( "Then the amount spent on the forks is (x+12).\r\n" );
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document.write( "The total amount equation is\r\n" );
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document.write( "    x + (x+12) = 156\r\n" );
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document.write( "    2x         = 156 - 12 = 144\r\n" );
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document.write( "    x                     = 72  dollars (spent on the spoons).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Part (b)\r
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document.write( "Let F be the number of forks.\r\n" );
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document.write( "Then the number of spoons is  .\r\n" );
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document.write( "Each spoon costs   =  =   dollars.\r\n" );
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document.write( "Each fork  costs   =   dollars.\r\n" );
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document.write( "The difference of individual prices is 50 cents, or 0.5 dollars\r\n" );
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document.write( "     -  = 0.5,   or\r\n" );
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document.write( "            = 0.5.\r\n" );
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document.write( "It implies  F =  = 24.    It is the number of forks. \r\n" );
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document.write( "Then the number of spoons is   =  = 3*6 = 18.   \r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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