The oil burner in a certain house is used to heat the house and to heat the hot water.During the seven cold months when the house is heated, an average of 200 gallons of oil a month is used.In the remaining five months, when the house is not heated, a total of 200 gallons of oil is used.What percentage of the year's oil supply is required to heat water during these five months?
a. 1/8%
b. 7%
c. 8%
d. 12 1/2%
e. 14%
please answer and explain
I had a lot of homework
7 months= 200x7=1400
5 months= 200
year= 1600
1600/100=16
200/16=12.5
so, my answer is d
but I am not sure, I want to make sure the answer, Ms Sue
D is right! :-)
no is e 14% the answer key says that i'm A+ teacher
To find the percentage of the year's oil supply required to heat water during the five months when the house is not heated, we need to calculate the ratio of oil used for water heating to the total annual oil consumption.
Let's start by finding the total annual oil consumption. The oil burner is used for seven months to heat the house, consuming an average of 200 gallons per month. So, the oil consumed for heating in these seven months is 7 * 200 = 1400 gallons.
In the remaining five months, when the house is not heated, a total of 200 gallons of oil is used for hot water.
To calculate the total annual oil consumption, we add the oil used for heating and the oil used for water heating: 1400 gallons + 200 gallons = 1600 gallons.
Now, let's find the ratio of oil used for water heating during the five months to the total annual oil consumption:
(200 gallons / 1600 gallons) * 100 = 12.5%.
Therefore, the percentage of the year's oil supply required to heat water during the five months is 12.5%.
So, the correct option is (d) 12 1/2%.