Out of a swarm of bees 1/5 settled in a field, 1/3 settled on a stone. 3 times the difference of those numbers flew to the bloom of a Kataja flower. one bee which remained hovered in the air, tell me the number of bees.
8 rubies, 10 emeralds and 100 pearls are in a set of earrings. The sum of the prices of the 3 sorts of gems were 3 less then half a hundred. Tell me the price of each gem.
Good Luck! First person to write out the equations and get both questions right get best answer!
By: Titanic 1912
About the Author:
2012 Obama
x/5 + x/3 + 3(x/3-x/5) + 1 = x
3x + 5x + 3(5x-3x)+15 = 15x
8x + 3(2x) + 15 = 15x
14x + 15 = 15x
x = 15
Not sure I understand the second one, though.
CNN
[3(1/3 - 1/5) + 1/3 + 1/5]x + 1 = x, where x is the swarm of bees
[3(5/15 - 3/15) + 5/15 + 3/15]x + 1 = x
[3(2/15) + 8/15]x + 1 = x
[6/15 + 8/15]x + 1 = x
14/15 x + 1 = x
x(1 – 14/15) = 1
x(1/15) = 1
x = 15
15 bees in the swarm
3 settled in a field
5 settled on a stone
3(5 – 3) = 3(2) = 6 fleew to the Kataja flower
the last one remained in the air
*****
not clear on the seond one…
8R + 10E + 100P = 47?
doesn’t seem like enough info here…