document.write( "Question 140700: you have 250 dinners
\n" ); document.write( "a child's plate costs $3.50
\n" ); document.write( "an adult's plate costs $7.00\r
\n" ); document.write( "\n" ); document.write( "a total of $1347.50 was collected\r
\n" ); document.write( "\n" ); document.write( "how many plates [child and adult] were served?
\n" ); document.write( "

Algebra.Com's Answer #102404 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
Let's assigned \"x\"= child's plate and \"y\"=adult's plate.
\n" ); document.write( "So, x+y=250 right? (assuming all the 250plates were used)
\n" ); document.write( "Mark this equation 1.
\n" ); document.write( "Then when we multiply the child's plate \"x\" by $3.50) + (adult's plate \"y\" times $7.00)equals $1347.50. To show,
\n" ); document.write( "\"3.50%28x%29%2B%247.00%28y%29\"=$1347.50. Mark this equation 2.
\n" ); document.write( "In equation 1 we get \"y=250-x\", then substitute this \"y\" value in equation 2.
\n" ); document.write( "Therefore,
\n" ); document.write( "\"3.50%28x%29%2B%247.00%28250-x%29\"=$1347.50
\n" ); document.write( "\"3.50%28x%29%2B1750.50-7.00x=1347.50\"
\n" ); document.write( "\"3.50x=402.50\"
\n" ); document.write( "\"x=115\", this is # of child's plate
\n" ); document.write( "For adult, go back equation 1, y=250-115
\n" ); document.write( "\"y=135\", # of adult's plate
\n" ); document.write( "In doubt? Simply check and go back equation 2,
\n" ); document.write( "\"3.50%28115%29%2B7.00%28135%29=1347.50\"
\n" ); document.write( "\"402.50%2B945=1347.50\"
\n" ); document.write( "$1347.50=$1347.50
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( "
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