document.write( "Question 45680: Hi, I am struggling with the whole alegbra concept so have two questions:\r
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document.write( "1. Eight washington stamps and two lincoln stamps cost $2.80; three washingston stamps and four lincoln stamps cost $2.35; Find the cost of each stamp and show the solution equations?\r
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document.write( "2. One number is 18 more than another, and the sum of the smaller number is twice the larger number is 45. What are the two numbers.\r
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document.write( "If someone could help I would be very happy. Thank you. \n" );
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Algebra.Com's Answer #30356 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. Eight washington stamps and two lincoln stamps cost $2.80; three washingston stamps and four lincoln stamps cost $2.35; Find the cost of each stamp and show the solution equations? \r \n" ); document.write( "\n" ); document.write( "Let W be the cost of the Washington stamps and L be the cost of the Lincoln. \n" ); document.write( "EQUATIONS: \n" ); document.write( "1st: 8W + 2L=280 cents \n" ); document.write( "2nd: 3W + 4L=235 cents\r \n" ); document.write( "\n" ); document.write( "Multiply the 1st equation by 2 to get: \n" ); document.write( "3rd: 16W + 4L = 560 \n" ); document.write( "Subtract the 2nd equation from the 3rd to get: \n" ); document.write( "4th: 13W=325 \n" ); document.write( " W= 25 cents (this is the cost of each Washington stamp) \n" ); document.write( "Substitute this value in 1st or 2nd to find L, as follows: \n" ); document.write( "3(25)+4L=235 \n" ); document.write( "75+4L=235 \n" ); document.write( "4L=160 \n" ); document.write( "L=40 cents (this is the cost of each Lincoln stamp) \n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "2. One number is 18 more than another, and the sum of the smaller number and twice the larger number is 45. What are the two numbers. \r \n" ); document.write( "\n" ); document.write( "Let the smaller number be \"x\". \n" ); document.write( "Then the larger number is \"x+18\" \n" ); document.write( "EQUATION: \n" ); document.write( " smaller + 2(larger) = 45 \n" ); document.write( " x + 2(x+18) = 45 \n" ); document.write( " x + 2x + 36 = 45 \n" ); document.write( " 3x = 9 \n" ); document.write( " x = 3 (this is the smaller number) \n" ); document.write( " x+18 = 21 (this is the larger number) \n" ); document.write( "------------------------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |