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

$\begin{gathered} ngallons=1\text{month} \\ 1\text{gallon}=\frac{1}{n}\text{month} \end{gathered}$

Then g gallons will be

$\begin{gathered} 1\text{gallon}=\frac{1}{n}\text{month} \\ g,gallons=g\times\frac{1}{n}month=\frac{g}{n}month \end{gathered}$

Then c cabins would be

$c,\text{cabins}=\frac{1}{c}\times\frac{g}{n}month=\frac{g}{nc}months$

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