Question 479708
given:

a belt and a shirt costs {{{182.00}}}

the shirt cost {{{6}}} times as much as the belt

let the shirt be {{{s}}}

let the belt be {{{b}}}

we know that {{{s+b=182.00)}}}..........1

we also know that {{{s=6*b}}}..........2...substitute in 1

{{{6*b+b=182.00}}}..........1...solve for {{{b}}}

{{{7b=182.00}}}

{{{b=182.00/7}}}

{{{b=26.00}}}........the cost of the belt

now find  {{{s}}}

{{{s=6*26.00}}}..........2

{{{s=156.00}}}.........the cost of the shirt