Tim had $39.35 more than Amy. Tim spent 7/9 of his money on books which cost $114.45. Amy spent 3/11 of her money on clothes.how much did Am

Amy      :   x $

Tim        :  x + 39,35

( x + 39,35 ) *7 / 9 = 114.45

( x + 39,35) =  $${\frac{{\mathtt{114.45}}{\mathtt{\,\times\,}}{\mathtt{9}}}{{\mathtt{7}}}} = {\frac{{\mathtt{2\,943}}}{{\mathtt{20}}}} = {\mathtt{147.15}}$$

x = $${\mathtt{147.15}}{\mathtt{\,-\,}}{\mathtt{39.35}} = {\frac{{\mathtt{539}}}{{\mathtt{5}}}} = {\mathtt{107.8}}$$

Amy  had  107.80 $  . She spend  3/11   =>

  $${\frac{{\mathtt{107.8}}{\mathtt{\,\times\,}}{\mathtt{11}}}{{\mathtt{3}}}} = {\frac{{\mathtt{5\,929}}}{{\mathtt{15}}}} = {\mathtt{395.266\: \!666\: \!666\: \!666\: \!666\: \!7}}$$      =>   395.27 $

Amy spend on her clothes 395.27 $ .

Gruß radix !