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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​

Sagot :

Answer:

  • D. 2,560 cm³

Step-by-step 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
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