SOLUTION: Dan, andy, Tim and Bret planted a total of 34 trees. Dan planted three times as many as Bret. Tim planted as many as Dan and Bret combined. Andy planted half as many as Bret. H

Question 485137: Dan, andy, Tim and Bret planted a total of 34 trees. Dan planted three times as many as Bret. Tim planted as many as Dan and Bret combined. Andy planted half as many as Bret. How many trees did each plant?
I cannot figure out how to set up the equation(s) to solve this problem. Please help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let d, a, t, b, represent the no. trees planted by ea man,
write an equation for each statement
:
Dan, andy, Tim and Bret planted a total of 34 trees.
d + a + t + b = 34
:
Dan planted three times as many as Bret.
d = 3b
:
Tim planted as many as Dan and Bret combined.
t = d + b
replace d with 3b
t = 3b + b
t = 4b
:
Andy planted half as many as Bret.
a = b
or
a = .5b

How many trees did each plant?
d + a + t + b = 34
replace: d with 3b, a with .5b , t with 4b
3b + .5b + 4b + b = 34
8.5b = 34
b =
b = 4 trees by Brett
:
You should be able to find the no. of trees, the other 3 men planted
Check that your solutions add up to 34.
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