Riya Andrews

2022-10-10

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?

Frederick Espinoza

Beginner2022-10-11Added 7 answers

Let the salary of a congressman as 'c' and that of a senator as 's'.

$\text{Given}\phantom{\rule{1ex}{0ex}}c+s=\$288,900\text{}Eqn\left(1\right)}$

$\text{Also given}\phantom{\rule{1ex}{0ex}}-c+s=\$41,300\text{}Eqn\left(2\right)}$

Adding Eqns (1) & (2),

$\overline{)c}+s\overline{)-c}+s=288900+41300$

$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

$\text{Given}\phantom{\rule{1ex}{0ex}}c+s=\$288,900\text{}Eqn\left(1\right)}$

$\text{Also given}\phantom{\rule{1ex}{0ex}}-c+s=\$41,300\text{}Eqn\left(2\right)}$

Adding Eqns (1) & (2),

$\overline{)c}+s\overline{)-c}+s=288900+41300$

$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

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