Question 704701
{{{x}}} = price of a Widget, in $
{{{y}}} = price of a Whatszit, in $
If the total sales were $463.96, we know that
{{{35x+28y=463.96}}} --> {{{5x+4y=66.28}}} dividing both sides of the equal sign by 5
Without much information, we cannot say more.
We could solve for {{{x}}} as a function of {{{y}}} and get
{{{x=(1/5)(66.28-4y)}}}
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),
then the Widget must be priced at ${{{0.04n}}} where {{{n}}} is an integer such that {{{0<=n<=331}}}.
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.
The price of a Widget could be $0.04, or $0.08, or ... or $13.20, or $13.24.
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.