document.write( "Question 198332: You have exactly $537 to spend on party gifts for your rich uncle’s birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 each). You know that the number of watches required will be 3 times as much as the number of beepers. How many of each item do you buy? …You must use algebraic techniques to solve this question….\r
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Algebra.Com's Answer #148790 by stanbon(75887) ![]() You can put this solution on YOUR website! You have exactly $537 to spend on party gifts for your rich uncle’s birthday party. You decide to get watches for the ladies (at $27.98 each), and beepers for the men (at $23.46 each). \n" ); document.write( "Value Equation: 27.98W + 23.46B = 537 \n" ); document.write( "-----------------\r \n" ); document.write( "\n" ); document.write( " You know that the number of watches required will be 3 times as much as the number of beepers. \n" ); document.write( "Quantity Equation: W - 3B = 0 \n" ); document.write( "--------------------------------------\r \n" ); document.write( "\n" ); document.write( " How many of each item do you buy? …You must use algebraic techniques to solve this question…. \n" ); document.write( "--------------------------------------------- \n" ); document.write( "System of equations: \n" ); document.write( "27.98W + 23.46B = 537 \n" ); document.write( "W - 3B = 0 \n" ); document.write( "---------------- \n" ); document.write( "Multiply thru the 1st Eq. by 100 \n" ); document.write( "2798W + 2346B = 53700 \n" ); document.write( "2798W -2798*3B = 0 \n" ); document.write( "------------------------------- \n" ); document.write( "Subtract to solve for \"B\": \n" ); document.write( "(2346 + 2798*3)B = 53700 \n" ); document.write( "B = 5 (# of beepers bought) \n" ); document.write( "Since W = 3B, W = 15 (# of watches bought) \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |