document.write( "Question 1055067: Can you help with this? I'm lost! \"Molly's custom kitchen supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork, and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April they spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks, and how many spoons did they make last April?\" \n" ); document.write( "
Algebra.Com's Answer #670263 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = the number of forks they made
\n" ); document.write( "Let \"+b+\" = the number of spoons they made
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "(1) \"+1.7a+%2B+1.3b+=+37.9+\"
\n" ); document.write( "(2) \"+5.6a+%2B+5.4b+=+147.2+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) \"+17a+%2B+13b+=+379+\"
\n" ); document.write( "(2) \"+56a+%2B+54b+=+1472+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) \"+28a+%2B+27b+=+736+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "This is a little tough. I think I will
\n" ); document.write( "multiply both sides of (1) by \"+27+\"
\n" ); document.write( "and both sides of (2) by \"+13+\"
\n" ); document.write( "Then I'll subtract (2) from (1)
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+459a+%2B+351b+=+10233+\"
\n" ); document.write( "(2) \"+-364a+-+351b+=+-9568+\"
\n" ); document.write( "-----------------------------------
\n" ); document.write( "\"+95a+=+665+\"
\n" ); document.write( "\"+a+=+7+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+17a+%2B+13b+=+379+\"
\n" ); document.write( "(1) \"+17%2A7+%2B+13b+=+379+\"
\n" ); document.write( "(1) \"+119+%2B+13b+=+379+\"
\n" ); document.write( "(1) \"+13b+=+260+\"
\n" ); document.write( "(1) \"+b+=+20+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "They made 7 forks and 20 spoons last April
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+1.7a+%2B+1.3b+=+37.9+\"
\n" ); document.write( "(1) \"+1.7%2A7+%2B+1.3%2A20+=+37.9+\"
\n" ); document.write( "(1) \"+11.9+%2B+26+=+37.9+\"
\n" ); document.write( "(1) \"+37.9+=+37.9+\"
\n" ); document.write( "OK
\n" ); document.write( "You can check (2)\r
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