Multiple choice

A container is $\dfrac{1}{8}$ full of water. After $10$ cups of water are added, the container is $\dfrac{3}{4}$ full. What is the volume of the container, in cups?

  1. $13\dfrac{1}{3}$
  2. $13\dfrac{1}{2}$
  3. $15$
  4. $16$
  5. $40$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let V be the total volume. V/8 + 10 = 3V/4. Multiply by 8: V + 80 = 6V. 5V = 80, so V = 16.

AI explanation

Let the total volume of the container be V cups. The difference between 3/4 and 1/8 of the container is equal to the 10 cups of water added. This yields the equation 3V/4 minus V/8 equals 10, which simplifies to 5V/8 equals 10. Multiplying both sides by 8 and dividing by 5 gives the total volume V as 16 cups.

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