document.write( "Question 45680: Hi, I am struggling with the whole alegbra concept so have two questions:\r
\n" ); document.write( "\n" ); 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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\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "If someone could help I would be very happy. Thank you.
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Algebra.Com's Answer #30356 by stanbon(75887)\"\" \"About 
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)
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\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)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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