Question

in 3 butoaie sunt 56 hl apa. in primul butoi se afla o cantitate de 7 ori mai mica decat cantitatea totala de apa iar in al treilea butoi cu 3 hl mai mult decat sfertul celui de al doilea butoi. Aflati ce cantitate de apa se afla in fiecare butoi

Answer 1

Răspuns:

a+b+c=56

a=56:7=8hl apa in primul butoi

c=b/4+3

8+b+b/4+3=56 amplificam

32+4b+b+12=224

5b=224-44

b=180:5=36 hl apa in al2lea butoi

c=36:4+3=13 hl apa in al3lea butoi

Answer 2

I + II + III = 56 hl

I = 56 hl apă : 7 = 8 hl

II + III = 56 hl apă - 8 hl

II + III = 48 hl

III = 3 hl + II : 4

II + 3 hl + II : 4 = 48 hl | × 4

4 × II + 12 hl + II = 192 hl

5 × II + 12 hl = 192 hl

5 × II = 192 hl - 12 hl

5 × II = 180 hl

II = 180 hl : 5

II = 36 hl

III = 3 hl + 36 hl : 4

III = 3 hl + 9 hl

III = 12 hl