document.write( "Question 390738: Ceceila bought some 22 cent and some 17 cent stamps for the school office. Altogether she purchased 37 stamps for $7.54.How many stamps of each kind did she buy? \n" ); document.write( "

Algebra.Com's Answer #277208 by emargo19(101) $\"\"$ $\"About$

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Let the quantity of 22 cents be x
\n" ); document.write( "Let the quantity of 17 cents be y
\n" ); document.write( "Therefore x+y=37 -----equation 1\r
\n" ); document.write( "\n" ); document.write( "Let the total value of 22 cents be 22x
\n" ); document.write( "And the total value of 17cents be 17y
\n" ); document.write( "Convert $7.54 into cents(multiply 7.54 *100=754)
\n" ); document.write( "Therefore 22x+17y=754------equation 2
\n" ); document.write( "
\n" ); document.write( "x+y=37 ----------- equation 1
\n" ); document.write( "22x+17y=754 ------ equation 2\r
\n" ); document.write( "\n" ); document.write( "Use the Substitution method
\n" ); document.write( "Isolate variable x in equation 1 \r
\n" ); document.write( "\n" ); document.write( "x=37-y
\n" ); document.write( "22(37-y)+17y=754
\n" ); document.write( "814-22y+17y=754
\n" ); document.write( "-22y+17y=754-814
\n" ); document.write( "-5y=-60
\n" ); document.write( "y=12\r
\n" ); document.write( "\n" ); document.write( "Substitute y = 12 into equation 1\r
\n" ); document.write( "\n" ); document.write( "x=37-12
\n" ); document.write( "x=25
\n" ); document.write( "therefore x=25
\n" ); document.write( "y=12\r
\n" ); document.write( "\n" ); document.write( "Ceceila bought 25, 22 cent and 12, 17 cent stamps for the school office \n" ); document.write( "

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