Question

A cylindrical tank is $\frac{1}{2}$ full. When 6 quarts are added, the tank is $\frac{2}{3}$ full. The capacity of the tank, in quarts, is

• A. 18
• B. 24
• C. 36
• D. 40
• E. 48

Answer 1

Answer: (C)

36

Let $t=$ the numbers of quarts the tank can handle

Now, according to questions,

$\frac{1}{2}t+6=\frac{2}{3}t$

$\frac{2}{3}t-\frac{1}{2}t=6$

$\left(\frac{4-3}{6}\right)t=6$

$\frac{1}{6}t=6$

$t=36$

$\therefore$ $36$ quarts of water.