Question

37 A cabin in the Catskills burns n gallons of oil each month in the winter. At this rate, g gallons of oil will supply c cabins for how many months? A. g/nc B.gnc C. (nc)/g D. (ng)/c

Answer 1

Given that, n gallons of oil is burnt in a month, then we can deduce that

`\begin{gathered} ngallons=1\text{month} \\ 1\text{gallon}=(1)/(n)\text{month} \end{gathered}`

Then g gallons will be

`\begin{gathered} 1\text{gallon}=(1)/(n)\text{month} \\ g,gallons=g*(1)/(n)month=(g)/(n)month \end{gathered}`

Then c cabins would be

`c,\text{cabins}=(1)/(c)*(g)/(n)month=(g)/(nc)months`

Hence, g gallons of oil will supply c cabins for g/nc months, OPTION A