A necklace broke while two lovers were playing.
A row of pearls escaped:
the sixth part to the ground fell;
the fifth part in the bed stayed;
a third, for the young woman was saved;
the tenth part the well loved picked up,
and with six pearls the cord stayed.
Tell me reader, How many pearls did the necklace of the blessed have?
We can solve the problem through an equation. We call x to the total number of pearls in the necklace. According to the problem, we would have:
x = x / 6 + x / 5 + x / 3 + x / 10 + 6
We look for the m.c.m. of 6,5,3 and 10 m.c.m. = 30 and we rewrite the equation:
x = 5x / 30 + 6x / 30 + 10x / 30 + 3x / 30 + 6
x = 24x / 30 + 6
We multiply by 30 both sides of the equation:
30x = 24x + 180
30x - 24x = 180
6x = 180
x = 180/6
x = 30
Thus, the necklace of the blessed had 30 pearls.