# The annual salaries of a congressman and a senator total $288,900. If the senator makes$41,300 more than the congressman, how do you find each of their salaries?

The annual salaries of a congressman and a senator total $288,900. If the senator makes$41,300 more than the congressman, how do you find each of their salaries?
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Frederick Espinoza
Let the salary of a congressman as 'c' and that of a senator as 's'.
$\text{Given}\phantom{\rule{1ex}{0ex}}c+s=288,900\text{}Eqn\left(1\right)$
$\text{Also given}\phantom{\rule{1ex}{0ex}}-c+s=41,300\text{}Eqn\left(2\right)$
$\overline{)c}+s\overline{)-c}+s=288900+41300$
$2s=330200\phantom{\rule{1ex}{0ex}}\text{or}\phantom{\rule{1ex}{0ex}}s=\frac{330200}{2}=$165,100#
c=288900−s=288900−165100=\$123,800