From November to December of $2015,$ the price per share of BP Oil dropped from $$93\mathrm{.}75$ to $$56\mathrm{.}75.$ Exxon shares also dropped from $$92\mathrm{.}75$ to $$83\mathrm{.}75.$

In November, your rich cousin invested $$104,112\mathrm{.}5$ into a combination of BP and Exxon shares. By December they sold their shares for $$82,346\mathrm{.}5$ losing $$21,766$ from their investment.

How many of each stock did they purchase?