SOLUTION: HELP NEEDED! :) If 14 Gardeners can plant 220 trees in 3 days, how many gardeners would be required to plant 170 trees in 5 days? (Assume the same rate per gardener.) THANK Y

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: HELP NEEDED! :) If 14 Gardeners can plant 220 trees in 3 days, how many gardeners would be required to plant 170 trees in 5 days? (Assume the same rate per gardener.) THANK Y      Log On


   

Question 975144: HELP NEEDED! :)
If 14 Gardeners can plant 220 trees in 3 days, how many gardeners would be required to plant 170 trees in 5 days? (Assume the same rate per gardener.)
THANK YOU!
Found 2 solutions by josgarithmetic, vindeep:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates for Doing A JOB.

RT=J for relating rate, time, job quantity.
The rate of a group of agents all doing the same job is the sum of their individual rates, or for n agents which each work at r rate, the combined rate is nr.

system%2814r%2A3=220%2Cnr%2A5=170%29
Solve for n.

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That is a system of two equations in two unknown variables. The first equation lets you solve for r. The second equation lets you use r to find n, the number of gardeners.

Answer by vindeep(4) About Me  (Show Source):
You can put this solution on YOUR website!
14G : 220 T : 3D = xG : 170 T : 5D
case 1 : rate / gardener = 220 / (14 X 3)
case 2 : rate / gardener = 170 / ( x X 5)
both the rates are equal
220 / (14 X 3 ) = 170 / (x X 5)
x = 6.49 round it to 7
so x = 7 Gardeners