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 #854161 by MathTherapy(10801) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Luka and his friends are preparing for a local bazaar. Luka spent 2 1/2 hours making friendship bracelets, which was\r\n" );
document.write( "3/4 of the time he spent baking cookies. The ratio of the number of cookies he baked to the number of bracelets he\r\n" );
document.write( "made was 5:2.\r\n" );
document.write( "1. How many hours did Luka spend baking cookies?\r\n" );
document.write( "2. If he sold 3/5 of his cookies and 1/2 of his bracelets, and he had 48 cookies left, how many bracelets did he have\r\n" );
document.write( "remaining?\r\n" );
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document.write( "This author would like to chime in on this problem.\r\n" );
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document.write( "PART 2.\r\n" );
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document.write( "Let the multiplicative factor be x\r\n" );
document.write( "As the ratio of the number of cookies to bracelets made was 5:2, the number of cookies and bracelets made, were 5x and 2x,\r\n" );
document.write( "respectively\r\n" );
document.write( "With the fraction of bracelets sold being , the fraction of bracelets remaining was  = \r\n" );
document.write( "So, number of bracelets remaining was  \r\n" );
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document.write( "Likewise, with the fraction of cookies sold being , the fraction of cookies remaining was  = \r\n" );
document.write( "So, number of cookies remaining was \r\n" );
document.write( " \r\n" );
document.write( "With the remaining number of cookies being 48, or 2x, we get the following REMAINING\r\n" );
document.write( "NUMBER-of-cookies equation: 2x = 48\r\n" );
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document.write( "Number of bracelets remaining (same as multiplicative factor) or \r\n" );
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document.write( "OR\r\n" );
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document.write( "A 5:2 ratio of the number of cookies to number of bracelets means that there were 5 parts cookies to 2 parts bracelets\r\n" );
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document.write( "With  of cookies sold, number of cookies remaining = , or , or 2 parts\r\n" );
document.write( "With  of bracelets sold, number of bracelets remaining , or , or 1 part\r\n" );
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document.write( "Now, we have 3 parts remaining and a cookies-to-bracelets ratio of 2:1\r\n" );
document.write( "This puts the remaining cookies at , and remaining bracelets at \r\n" );
document.write( "As total remaining cookies were 48, we get the Remaining number of bracelets as: \r\n" );
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document.write( "@KMST is correct! This author misread \"....and he had 48 cookies left\" as, he had 48 cookies and bracelets left. Corrections\r\n" );
document.write( "were made above, and now, 24 is the correct number of bracelets that remained, not 16, as was previously calculated.\r\n" );
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document.write( "Thanks to @KMST for responding, revealing this error!!

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