document.write( "Question 704701: A vendor sells 28 Whatszitand 35 Widgets. If the vendor makes a total of $463.96, what does the vendor charge for the Whatszit? What does the vendor charge for the Widget? \n" ); document.write( "

Algebra.Com's Answer #434398 by KMST(5328) $\"\"$ $\"About$

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$\"x\"$ = price of a Widget, in $
\n" ); document.write( " $\"y\"$ = price of a Whatszit, in $
\n" ); document.write( "If the total sales were $463.96, we know that
\n" ); document.write( " $\"35x%2B28y=463.96\"$ --> $\"5x%2B4y=66.28\"$ dividing both sides of the equal sign by 5
\n" ); document.write( "Without much information, we cannot say more.
\n" ); document.write( "We could solve for $\"x\"$ as a function of $\"y\"$ and get
\n" ); document.write( " $\"x=%281%2F5%29%2866.28-4y%29\"$
\n" ); document.write( "If the price has to be a whole number of cents (unlike the price per gallon for gasoline, which in the US seems to always end in 9/10 of a cent),
\n" ); document.write( "then the Widget must be priced at $ $\"0.04n\"$ where $\"n\"$ is an integer such that $\"0%3C=n%3C=331\"$ .
\n" ); document.write( "The price of a widget could be $0.00. Maybe the vendor sells Whatszits at $16.57 each, and gives some Widgets for free with purchase of a Whatszit.
\n" ); document.write( "The price of a Widget could be $0.04, or $0.08, or ... or $13.20, or $13.24.
\n" ); document.write( "In between values would require $\"y\"$ prices for the Whatszits with fractional cents, as in a $10.3325 price for a Whatszit if the price for a Widget was $4.99. \n" ); document.write( "

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