Răspuns:
1leu ×115%=1,15 lei/kg de varza
2lei ×105%=2,1 lei/kg de cartofi
Explicație pas cu pas:
x=pret kg varza
y=pret kg cartofi
dupa scumpire
x+15%=115%x=115x/100=23x/20 =pret kg varza
y+5%y=105y/100=21y/20 =pret kg cartofi
3x+4y=11 y=(11-3x)/4
2×23x/20+5×21y/20=12,8
23x/10+21y/4=12,8
46x+105y=256
46x+105(11-3x)/4=256
184x+1155-315x=1024
131x=131
x=1 leu kg varza
y=(11-3×1)/4=(11-3)/4=8/4=2 lei kg cartofi
dupa scumpire
1leu ×115%=1,15 lei/kg de varza
2lei ×105%=2,1 lei/kg de cartofi