A study looked at the percentage of private sector companies $($for$-$profit businesses$)$ that

provide extended health benefits to their employees. They found that $80\%$ of large companies

provide extended health benefits to their employees, $60\%$ of midsize companies do$,$ but only

$20\%$ of small companies provide extended health benefits. $50\%$ of employees work for a

company that would be classified as a large company, $35\%$ work for a midsize company and

the rest work for a small company.

$($a$)$ Overall, what percentage of private sector employees have extended health benefits

provided by their employer?