Question

Intr-o gospodarie privata sunt gaste si oi,in total sunt 43 de capete si 124 de picioare.Cate gaste si cate oi erau in gospodariie?.Rezolvati problema folosind altfel de reprezentari decat prin segmente.

Answer 1

a=gaste
b=oi
a+b=43=>a=43-b
2a+4b=124
86-2b+4b=124
2b=38
b=19
a=43-b=43-19=24

Answer 2

x-Giste
y-Oi
$\left \{ {{x+y=43} \atop {2x+4y=124}} \right.$ Echivalent
$\left \{ {{x=43-y} \atop {2(43-y)+4y=124} \right.$ Echivalent
$\left \{ {{x=24} \atop {y=19}} \right.$ Uite rezolvarea:
2(43-y)+4y=124
86-2y+4y=124
2y=124-86
y=$\frac{38}{2}$
y=19

x+y=43
x=43-19
x=24

R/s: 24 giste; 19 oi.