Answer
Medicare provides 3,242 dollars more than Medicaid.
Work Step by Step
Evaluate average per person benefit for both Medicaid and Medicare and use decimal notation.
Medicaid
$\frac{198\times10^{9}}{53.4\times10^{6}}=(\frac{198}{53.4})(\frac{10^{9}}{10^{6}})=3.708\times10^{3}=3,708$ dollars
Medicare
$\frac{294\times10^{9}}{42.3\times10^{6}}=(\frac{294}{42.3})(\frac{10^{9}}{10^{6}})=6.950\times10^{3}=6,950$ dollars
Medicare provides greater per person benefit.
Medicare provides $6,950-3,708=3,242$ dollars more than Medicaid.
