Q:

four 3 megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 55,000 homes?

Accepted Solution

A:
Answer:The number of turbines is 74Step-by-step explanation:* Lets explain how to solve the problem- Four 3 megawatt wind turbines can supply enough electricity  to power 3000 homes∴ The number of turbines is 4 ∵ Each turbine give 3 megawatt∴ The four turbines give ⇒ 4 × 3 = 12 megawatt- This quantity give enough electricity to power 3000 homes∴ The number of homes for the 12 megawatt is 3000- We need to find how many turbines can cover enough electricity   to power 55,000 homes, so we must to know the quantity of   electricity that be enough to power 55,000 homes* Lets use the cross multiplication to solve the problem∵         megawatt    :     number of homes                   12          :              3,000                   ?            :            55,000- By using cross multiplication∴ [tex]?=\frac{(55,000)(12)}{3,000}=\frac{660,000}{3000}=220[/tex]∴ The enough electricity to power 3000 homes = 220 megawatt∵ Each turbine gives 3 megawatt- Find the number of turbines divides the total megawatt by the the   megawatt of one turbine∴ The number of turbines = 220 ÷ 3 = 73.3- If we take 73 only the electricity will not be enough to cover all  homes, so we must to take 74 turbines∴ The number of turbines is 74