document.write( "Question 1101909: Sam has two kinds of stamps, 27 cents and 33 cent stamps. Altogether, 24 stamps sold for a total of $6.84. How many of each type pf stamp does Sam have? \n" ); document.write( "

Algebra.Com's Answer #716548 by ikleyn(52835) $\"\"$ $\"About$

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document.write( "    \"How many of each type pf stamp does Sam have?\"\r\n" );
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\n" ); document.write( "\n" ); document.write( "does not make sense in this context. The question which makes sense is\r
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document.write( "    \"How many of each type of stamps did Sam sell?\"\r\n" );
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\n" ); document.write( "\n" ); document.write( "I will answer the LAST question.\r
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document.write( "  x +   y =  24,     (1)     (counting stamps)\r\n" );
document.write( "27x + 33y = 684.     (2)     (counting cents)\r\n" );
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document.write( "From (1),  y = 24-x.  Substitute it into (2)\r\n" );
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document.write( "27x + 33*(24-x) = 684,'\r\n" );
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document.write( "27x + 33*24 - 33x = 684\r\n" );
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document.write( "-6x = 684 - 33*24 = -108  ====>  x =  = 18.\r\n" );
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document.write( "Answer. 18 stamps by 27 cents and  (24-18) = 6 stamps by 33 cents.\r\n" );
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document.write( "Check.  18*27 + 6*33 = 684.    ! Correct !\r\n" );
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