contestada

out of a swarm of bees one fifth part settled on a kadamba blossom; one third on a silihindra flower; three times the difference of those numbers flew to the bloom of a kutaja. one bee, which remained, hovered about in the air. tell me, charming woman, the number of bees

Respuesta :

kittysage
setting things up:
let x be the # of bees in the swarm, then 
[tex]\frac{x}{5}+\frac{x}{3}+3(\frac{x}{3}-\frac{x}{5})+1=x[/tex]

multiply across by 15
[tex]3x+5x+3(5x-3x)+15=15x[/tex]
[tex]8x+3(2x)+15=15x[/tex]
[tex]8x+6x+15=15x[/tex]
[tex]14x+15=15x[/tex]
[tex]15=x\leftrightarrow x=15[/tex]

Otras preguntas