document.write( "Question 1139685: An oatmeal cookie recipe calls for
\n" ); document.write( "1/2 cup of butter to make 6 dozen cookies. Hilda needs to make 15 dozen cookies for the bake sale. How many cups of butter will she need? \n" ); document.write( "
Algebra.Com's Answer #760186 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "1/2 = 0.5\r
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\n" ); document.write( "\n" ); document.write( "We know that 1/2 cup of butter makes 6 dozen cookies, so if x cups of butter make 15 dozen cookies, then we have the proportion 0.5/6 = x/15. I'm using 0.5 in place of 1/2 as it makes the equation more readable. \r
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\n" ); document.write( "\n" ); document.write( "Let's solve for x
\n" ); document.write( "0.5/6 = x/15
\n" ); document.write( "0.5*15 = 6*x ..... cross multiply
\n" ); document.write( "7.5 = 6*x
\n" ); document.write( "6x = 7.5
\n" ); document.write( "6x/6 = 7.5/6 ..... divide both sides by 6
\n" ); document.write( "x = 1.25
\n" ); document.write( "x = 1 + 0.25
\n" ); document.write( "x = 1 + 1/4 ...... convert 0.25 to a fraction
\n" ); document.write( "x = 1 & 1/4\r
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\n" ); document.write( "\n" ); document.write( "Answer: 1 & 1/4 cups of butter\r
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\n" ); document.write( "\n" ); document.write( "This is a mixed number and it is read as \"one and a quarter\" or as \"one and one-fourth\". You can write it as 1.25, though the convention in cooking is to use a mixed number format. Possibly because many people can picture what \"fourths\" represent rather than the decimal 0.25.
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