Question

17．甲、乙二人同到銀行儲蓄，已知甲存款數(shù)是二人存款總錢數(shù)的$\frac{2}{5}$．如果乙取出30元存人甲的賬號，那么這二人存款的錢數(shù)就相等，求乙實際存款是多少元．

Answer 1

分析 設(shè)二人存款總錢數(shù)為x元，則甲存款數(shù)為$\frac{2}{5}$x元，乙存款數(shù)為x-$\frac{2}{5}$x元，根據(jù)等量關(guān)系：乙存款數(shù)-30元=甲存款數(shù)+30元，列方程解答即可．

解答 解：設(shè)二人存款總錢數(shù)為x元，則甲存款數(shù)為$\frac{2}{5}$x元，乙存款數(shù)為x-$\frac{2}{5}$x元，
x-$\frac{2}{5}$x-30=$\frac{2}{5}$x+30
   $\frac{3}{5}$x-30=$\frac{2}{5}$x+30
        $\frac{1}{5}$x=60
          x=300，
300-300×$\frac{2}{5}$
=300-120
=180（元），
答：乙實際存款是180元．

點評 本題考查了分數(shù)四則復合應用題，關(guān)鍵是根據(jù)等量關(guān)系：乙存款數(shù)-30元=甲存款數(shù)+30元，列方程．