AMC8 1992

AMC8 1992 · Q14

AMC8 1992 · Q14. It mainly tests Fractions.

When four gallons are added to a tank that is one-third full, the tank is then one-half full. The capacity of the tank in gallons is

向一个三分之一满的容器中加入4加仑后，容器正好是一半满。容器的容量（加仑）是

(A) 8 8

(B) 12 12

(D) 24 24

(E) 48 48

Answer

Correct choice: (D)

正确答案：（D）

Solution

Answer (D): Since 4 gallons is the difference between being 1/3 full and 1/2 full, it follows that 4 gallons is \[ \frac{1}{2} - \frac{1}{3} = \frac{1}{6} \] of the capacity of the tank. Thus the capacity of the tank must be 24 gallons.

答案 (D)：4加仑是从1/3满到1/2满的差，因此4加仑是罐体容量的 \[ \frac{1}{2} - \frac{1}{3} = \frac{1}{6} \]。因此罐体容量须为24加仑。

Topics

AR.001 Fractions