SOLUTION: Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 25898 homes? __________ 3 megawatt turbines. Round

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Question 1203072: Four 3-megawatt wind turbines can supply enough electricity to power 3000 homes.
How many turbines would be required to power 25898 homes? __________ 3 megawatt turbines. Round to the nearest whole number.
Found 3 solutions by josgarithmetic, math_tutor2020, greenestamps:
Answer by josgarithmetic(39613) About Me  (Show Source):
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This is a proportion.

4 turbines per 3000 homes;
How-many turbines per 25898 homes?
The two ratios are to be equal.

T%2F25898=4%2F3000---------solve for T.

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Or looking at the ratios starting with the unaccounted turbines for the second given count of homes:

25898%2Ahomes%2A%284%2F3000%29%28turbines%2Fhomes%29
25898%2Across%28homes%29%2A%284%2F3000%29%28turbines%2Fcross%28homes%29%29
%2825898%2A4%29%2F3000turbines

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

4 turbines power 3000 homes.
This would mean 1 turbine powers 3000/4 = 750 homes.

n = number of turbines
750n = number of homes powered by n turbines
750n = 25898
n = 25898/750
n = 34.5306666666667 approximately

Round this up to the nearest whole number so we clear the hurdle.
Having 34 turbines will come up short of the goal of powering 25898 homes (since 34 turbines would power 34*750 = 25500 homes)
Therefore, 35 turbines are needed.

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Another approach

(numberOfTurbines)/(numberOfHomes) = (numberOfTurbines)/(numberOfHomes)
n/25898 = 4/3000
3000n = 25898*4
n = 25898*4/3000
n = 34.5306666666667 approximately
n = 35 when rounding up to the nearest integer

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Answer: 35

Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


The other two responses are rather formal -- which is fine, but perhaps not necessary.

There is presumably a direct relationship between the number of turbines and the number of homes. So simply multiply the given 4 turbines by the ratio of the numbers of turbines:

4%2825898%2F3000%29 = 34.53 to 2 decimal places.

ANSWER: to the nearest whole number, 35 turbines