Question 420911
Let {{{a}}} = weekly salary
Let {{{b}}} = commission rate
given:
1st week:
(1) {{{ 660 - a = b*4000 }}}
2nd week:
(2) {{{ 740 - a = b*6000 }}}
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This is 2 equations with 2 unknowns, so it's solvable
(1) {{{ -a = 4000b - 660 }}}
(1) {{{ a = -4000b + 660 }}}
and
(2) {{{-a = 6000b - 740 }}}
Now add these equations
{{{ 0 = 2000b - 80 }}}
{{{ 2000b = 80 }}}
{{{ b = .04 }}}
The commission rate is 4%
and
(1) {{{ a = -4000b + 660 }}}
(1) {{{a = -4000*.04 + 660 }}}
(1) {{{a = 660 - 160 }}}
{{{a = 500}}}
The weekly salary is $500