document.write( "Question 1183071: The menu for a 250 person banquet includes 2 ounces of fresh green beans per person. If green beans have a yield of 88.1%, how many full pounds of greens should you purchase for this banquet? (Round your answer up to the next nearest pound) \n" ); document.write( "
Algebra.Com's Answer #813215 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "The phrasing \"have a yield of 88.1%\" means that if you bought say 1000 pounds of green beans, then 0.881*1000 = 881 pounds would be considered edible (unfortunately the remaining portion would have to be tossed).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We're told that each person gets 2 ounces of green beans. With 250 people attending, this means we need to have 2*250 = 500 ounces of green beans.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x be the amount of green beans we buy \n" ); document.write( "Some of that will spoil, but 88.1% of that amount x will be edible \n" ); document.write( "88.1% of x = 0.881x is the amount of edible green beans in ounces\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Set this equal to the target of 500 ounces and solve for x \n" ); document.write( "0.881x = 500 \n" ); document.write( "x = 500/0.881 \n" ); document.write( "x = 567.536889897843 which is approximate \n" ); document.write( "x = 568 \n" ); document.write( "So we need to buy about 568 ounces of green beans\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide this by 16 to convert to pounds \n" ); document.write( "568 oz = 568/16 = 35.5 lbs \n" ); document.write( "This then rounds up to 36 pounds. \n" ); document.write( "Keep in mind that this means 36*16 = 576 ounces of green beans are purchased (which is over the target 568, but it's better to shoot over rather than come up short).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: 36 pounds \n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |