document.write( "Question 1210594: Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he made was 5:2.
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Algebra.Com's Answer #854160 by ikleyn(53742) $\"\"$ $\"About$

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\n" ); document.write( "Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets,
\n" ); document.write( "which was 3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked
\n" ); document.write( "to the number of bracelets he made was 5:2.
\n" ); document.write( "1. How many hours did Luka spend baking cookies?
\n" ); document.write( "2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left,
\n" ); document.write( "how many bracelets did he have remaining?
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\n" ); document.write( "\n" ); document.write( " P a r t 1\r
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document.write( "Time for making bracelets is  2 1/2 hours, or  5/2 hours.\r\n" );
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document.write( "It is 3/4 of the time baking cookies.\r\n" );
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document.write( "So, we write this equation\r\n" );
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document.write( "     =   hours.\r\n" );
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document.write( "where x is the time under the question 1.\r\n" );
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document.write( "To find x, divide equation (1) by  .  You will get\r\n" );
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document.write( "    x =  =  =  =  = 3 1/3 hours or 3 hours and 20 minutes.\r\n" );
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document.write( "ANSWER to question 1: Luka spent 3 1/3 hours, or 3 hours and 20 minutes, baking cookies.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Thus part (1) is completed.\r
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document.write( "            Actually, this part is pure arithmetical problem \r\n" );
document.write( "            and can be solved MENTALLY without using equations.\r\n" );
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document.write( "2 1/2 hours is 150 minutes.\r\n" );
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document.write( "It is 3/4 of the baking time.\r\n" );
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document.write( "So, 1/4 of the baking time is 1/3 of 150 minutes, which is 50 minutes.\r\n" );
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document.write( "Hence, the whole baking time is 4*50 = 200 minutes, which is the same 3 hours and 20 minutes as we got above.\r\n" );
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document.write( "So, solving arithmetically, you get the same answer.\r\n" );
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