Zadanie 5.
[tex]k+w=3,15\\k+\frac25w=1,65\\\\k=3,15-w\\3,15-w+\frac25w=1,65\\3,15-1,65=w-\frac25w\\1,5=\frac35w /*5\\7,5=3w /:3\\2,5=w\\k=3,15-2,5=0,65[/tex]
Odp. Pusty koszyk wazyl 0,65kg
Zadanie 6.
[tex]u = n-6\\4n+2u=114\\4n+2(n-6)=114\\4n+2n-12=114\\6n=114+12\\6n=126 /:6\\n=21\\u=21-6=15\\\\3n+u=3*21+15=63+15=78[/tex]
Odp. Za 3 bilety normalne i 1 ulgowy nalezy zaplacic 78zl.
Zadanie 7.
[tex]d =\frac25c\\d+2=\frac{c+1}{2}\\\\\frac25c+2=\frac{c+1}{2} /*2\\2(\frac25c+2)=c+1\\\frac45c+4=c+1\\4-1=c-\frac45c\\3=\frac15c /*5\\15=c\\d=\frac25*15=2*3=6\\d+2=6+2=8\\c+1=15+1=16\\8+16=24[/tex]
Odp.
Zadanie 8.
[tex]\left \{ {{x+y=600} \atop {\frac1{100}x+\frac4{100}y=12/*100}} \right. \\\left \{ {{x+y=600/*(-1)} \atop {x+4y=1200}} \right. \\\left \{ {{-x-y=-600} \atop {x+4y=1200}} \right. \\-y+4y=-600+1200\\3y=600 /:3\\y = 200\\x+200=600\\x=600-200\\x=400[/tex]
Odp. Potrzeba 400g zalewy o stezeniu 1% i 200g zalewy o stezeniu 4%
