Question

Un automobil a parcurs o distanta in trei zile. In prima zi a parcurs 5/12 din distanta totala, a 2 a zi a parcurs 3/7 din drumul ramas, iar a 3 a zi a parcurs restul de 240 km. Cati km are drumul in intregime ?​

Answer 1

Răspuns:

5x/12 - a parcurs in prima zi

¹²⁾x-5x/12=(12x-5x)/12=7x/12 rest

7x/12·3/7=(21x/84)⁽²¹=x/4 - a parcurs a2a zi

5x/12+³⁾x/4+¹²⁾240=¹²⁾x

5x+3x+2880=12x

2880=12x-8x

x=2880:4=>x=720 km lungimea drumului

verificare:

5·720:12=300km prima zi

720-300=420 rest

3·420:7=180 km a2a zi

300+180+240=720 km lungimea drumului