document.write( "Question 72867: 1. In a certain cookie recipe, the ratio of flour to cups of sugar is 3 to 1. If the recipe uses 2 1/4 cups of flour, how much sugar does it use?\r
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Algebra.Com's Answer #52093 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
If the ratio is 3 to 1, that means there is 3 times as much of the first object than the 2nd object. In this case, the amount of flour is triple the amount of sugar. In a simple case, say we have 6 cups of flour, we will have 2 cups of sugar (6/3=2). However, first you need to convert 2 1/4 to a simpler fraction by making it an improper fraction.
\n" ); document.write( "\"2+%281%2F4%29=9%2F4\" Note: its not 2 multiplied by 1/4 its 2 and a fourth
\n" ); document.write( "Now we must set up a proportion
\n" ); document.write( "\"3%2F1=%289%2F4%29%2Fx\"Notice that the amount of flour divided by the amount of sugar is 3.
\n" ); document.write( "\"%283%2F1%29%2A%284%2F9%29=%28cross%289%2F4%29%2Fx%29%2Across%284%2F9%29\"Multiply both sides by 4/9, this cancels the 9/4 on the right side
\n" ); document.write( "\"12%2F9=1%2Fx\"Multiply the values on the left side
\n" ); document.write( "\"4%2F3=1%2Fx\"Simplify the left side
\n" ); document.write( "\"4%2F3x=1\"Multiply both sides by x
\n" ); document.write( "\"cross%28%283%2F4%29%284%2F3%29%29x=3%2F4\"Multiply both sides by 3/4
\n" ); document.write( "\"x=3%2F4\"
\n" ); document.write( "Check:
\n" ); document.write( "\"%289%2F4%29%2F%283%2F4%29=3%2F1\"
\n" ); document.write( "\"%289%2Fcross%284%29%29%2A%28cross%284%29%2F3%29=3%2F1\"
\n" ); document.write( "\"9%2F3=3%2F1\"
\n" ); document.write( "\"3=3\"Works
\n" ); document.write( "So the amount of sugar is 3/4 of a cup. Hope this helps\r
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