document.write( "Question 180802This question is from textbook Beginning Algebra with Applications
\n" ); document.write( ": A postal clerk sold some $.34 stamps and some $.23 stamps. Altogether, 15 stamps were sold for the total cost of $4.44. How many of each type of stamp were sold? \n" ); document.write( "

Algebra.Com's Answer #135533 by josmiceli(19441) $\"\"$ $\"About$

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Let the number of $.34 stamps = $\"a\"$
\n" ); document.write( "Let the number of $.23 stamps = $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+b+=+15\"$
\n" ); document.write( "(2) $\".34a+%2B+.23b+=+4.44\"$
\n" ); document.write( "Multiply both sides of (1) by $\".23\"$ and
\n" ); document.write( "subtract from (2)
\n" ); document.write( "(2) $\".34a+%2B+.23b+=+4.44\"$
\n" ); document.write( "(1) $\"-.23a+-+.23b+=+-.23%2A15\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) $\".34a+%2B+.23b+=+4.44\"$
\n" ); document.write( "(1) $\"-.23a+-+.23b+=+-3.45\"$
\n" ); document.write( " $\".11a+=+.99\"$
\n" ); document.write( " $\"a+=+9\"$
\n" ); document.write( "And, since
\n" ); document.write( "(1) $\"a+%2B+b+=+15\"$
\n" ); document.write( " $\"b+=+15+-+a\"$
\n" ); document.write( " $\"b+=+6\"$
\n" ); document.write( "9 of the $.34 stamps were sold and
\n" ); document.write( "6 of the $.23 stamps were sold
\n" ); document.write( "check:
\n" ); document.write( "(2) $\".34a+%2B+.23b+=+4.44\"$
\n" ); document.write( " $\".34%2A9+%2B+.23%2A6+=+4.44\"$
\n" ); document.write( " $\"3.06+%2B+1.38+=+4.44\"$
\n" ); document.write( " $\"4.44+=+4.44\"$
\n" ); document.write( "OK \n" ); document.write( "

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