Question

La un atelier de croitorie s-au confectionat si vandut 5 camasi, 10 rochii si 25 costume, incasandu-se suma de 1105 lei. Afla cat costa fiecare articol, daca 1 rochie costa cat 3 camasi, iar 1 costum costa cu 9 lei mai mult decat 1 rochie.

Answer 1

camasi-a
rochii-b
costume-c
5a+10b+25c=1105
1b=3a
1c=9+1b

5a+10x3a+25x(9+b)=1105
5a+30a+225+25b=1105
35a+25x3a=1105-225
35a+75a=880
110a=880
a=880:110
a=8(costa o camasa)
b=3x8=24(costa  o rochie)
c=9+24=33(costa un costum)

verificare:5x8+10x24+25x33=40+240+825=1105

Answer 2

5camasi+10rochii+25costume=1105lei
1 rochie=3 camasi .....=> 10 rochii=30 camasi
1 cistum=3 camasi+9lei..=>25 costume=75 camasi+225 lei
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1 camasa=? 1 rochie=? 1 costum=?

5 c+30c+75c+225lei=1105lei
110c=1105-225
110c=880lei
1c=880:110
1 camasa = 8 lei

1 rochie=8*3=24lei
1 costum=24+9=33 lei

5*8+10*24+25*33=
=40+240+825
=280+825
=1105 lei in total