Question

Un biciclist a parcurs un drum astfel: in prima zi 1/4 din drum, a doua zi 5/6 din rest,ramanandu-i de parcurs 28km. Cati kilometri are intregul drum?

Answer 1

Fie x-intregul drum

1-zi:1/4*x=x/4
2-zi:x-x/4=4x/4-x/4=3x/4
restul
5/6*3x/4=15x/24=5x/8
3-zi:28 km

x/4+5x/8+28=x
x/4+5x/8+28/1=x/1
2x/8+5x/8+224/8=8x/8:8 eliminam numitorii si ramane
2x+5x+224=8x
7x+224=8x
8x-7x=224
x=224 km

Sper ca te am ajutat