document.write( "Question 192256This question is from textbook Intermediate Algebra
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document.write( ": An office has some 20 cent stamps and some 28 cent stamps. All together the office has 140 stamps for a total value of $31.20. How many of each stamp does the office have? \r
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document.write( "my try:
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document.write( "Stamps Number Value Total Value
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document.write( "20 cent x .20 .20x
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document.write( "28 cent 140 -x .28 .28(140-x)\r
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document.write( ".20x + .28(140-x) = 31.20\r
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document.write( ".20x + 39.20 - .28x = 31.20\r
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document.write( ".08x + 39.20 = 31.20
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document.write( "-.08x = -8.00
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document.write( "x = 1 \r
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document.write( "WRONG? What am I doing wrong?? Help!
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document.write( "
Algebra.Com's Answer #144294 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! let the number of 20 cent and 28 cent stamps by x and y respectively \n" ); document.write( ": \n" ); document.write( "x+y=140........eq 1 \n" ); document.write( ".2x+.28y=31.2..eq 2 \n" ); document.write( ": \n" ); document.write( "rewrite eq 1 to x=140-y and plug it into eq 2 \n" ); document.write( ": \n" ); document.write( ".2(140-y)+.28y=31.2 \n" ); document.write( ": \n" ); document.write( "28-.2y+.28y=31.2 \n" ); document.write( ": \n" ); document.write( ".08y=3.2 \n" ); document.write( ": \n" ); document.write( "y=40 (28 cent stamps) \n" ); document.write( ": \n" ); document.write( "x=140-y=140-40=100 (20 cent stamps) \n" ); document.write( " |