Question 1127607

At one store, {{{5}}} pairs of jeans and {{{2}}} sweatshirts costs ${{{213}}},


{{{5j+2sw=213}}}


{{{5j=213-2sw}}}


{{{j=(213-2sw)/5}}}.......eq.1



 while {{{3}}} pairs of jeans and {{{4}}} sweatshirts costs ${{{195}}}


{{{3j+4sw=195}}}


{{{3j=195-4sw}}}


{{{j=(195-4sw)/3}}}..........eq.2


from eq.1 and eq.2, we have


{{{(213-2sw)/5=(195-4sw)/3}}}........solve or {{{sw}}}


{{{3(213-2sw)=5(195-4sw)}}}


{{{639-6sw=975-20sw}}}


{{{20sw-6sw=975-639}}}


{{{14sw=336}}}


{{{sw=336/14}}}


{{{sw=24}}}


 the cost one sweatshirt is ${{{24}}} 


so, answer is: D. ${{{24}}}