A container is 18 full of water- After 10 cups of water are added- the container is 34 full- What is the volume of the container- in cups-

The correct option is E 16 Let the container full of water be 18x .After 10 cups added, the container is 34 full. x8+10=3x4 ⇒6x8 ...

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Standard VIII

Mathematics

Applications (Word Problem)

A container i...

Question

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

13 \frac{1}{3}

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13 \frac{1}{2}

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15

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16

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40

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Solution

The correct option is E $16$
Let the container full of water be $\frac{1}{8} x$ .
After $10$ cups added, the container is $\frac{3}{4}$ full.
$\frac{x}{8} + 10 = \frac{3 x}{4}$
$\Rightarrow \frac{6 x}{8} - \frac{x}{8} = 10$
$\Rightarrow 5 x = 80$
$\Rightarrow x = 16$
Therefore, volume of container in cups is $16$ .

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A container is 18 full of water. After 10 cups of water are added, the container is 34 full. What is the volume of the container, in cups?

The correct option is E 16Let the container full of water be 18x.After 10 cups added, the container is 34 full.x8+10=3x4⇒6x8−x8=10⇒5x=80⇒x=16Therefore, volume of container in cups is 16.

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