algebra word problem?
several small blips emerged from the hollow stump, hovered briefly then shot off 1/5 of the bees flew to a cherry tree, 1/3 flew to a clover tree and 3 times the difference of these two hung out and circled the hive. how many bees were there altogether?
thank you for your help
Comments
u = ( 1 / 5 )x
y = ( 1 / 3)u
z = 3 ( u - y )
z = 2u
x = 5u
u + y + z = u
5u + 2u + u = u
Let "b" be the total number of bees. Then b/5 flew to a cherry tree, b/3 flew to the clover tree, and 3(b/3 - b/5) circled the hive. If all three of these groups has to add up to the total number of bees, which is b, then:
(b/5) + (b/3) + 3(b/3 - b/5) = b
You would then solve this for b, but I think the only real solution you get is b=0. So something about the problem isn't clear.