Question

A rectangular tank is \frac{3}{4} full of water. If you add another 320 cubic centimeters of water, the tank will be \frac{7}{8} full. what is the capacity of the tank?

A: 1,280 cm³
B: 1,920 cm³
C: 2,240 cm³
D: 2,560 cm³​

Answer 1

• D. 2,560 cm³

Explanation:

Let :

• water (when 3/4 full) = 3/4x
• water (when 7/8 full) = 7/8x
• x is the capacity of the tank

Finding the change in level

• 3/4x + 320 = 7/8x
• x/8 = 320
• x = 320 * 8
• x = 2,560 cm³