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A container holds an unknown number of pints of water. Let p represent this unknown amount. Nari pours three-fourths of this volume into an empty pot. She then adds another 2 pints of water. The pot now holds a total of 11pints of water. Set up and solve an equation to find the value of p.

Answer :

Answer: 12

Step-by-step explanation:

Let p represent this unknown amount.

Nari pours three-fourths of this volume into an empty pot. This can be written as:= 3/4 × p = 3/4p = 0.75p

She then adds another 2 pints of water and the pot now holds a total of 11pints of water. This means we will add 2 to 0.75p and equate to 11. This will be:

0.75p + 2 = 11

0.75p = 11 - 2

0.75p = 9

p = 9/0.75

p = 12

P equals to 12

This question is based on solving linear equation.Therefore, the answer is 12 pints of total amount of water.

Given:

Nari pours three-fourths of this volume into an empty pot.She then adds another 2 pints of water. The pot now holds a total of 11 pints of water.

Let the unknown amount of pints of water is  p.

According to the question,

She pours three-fourths of this volume into an empty pot. This can be written as:

[tex]\dfrac{3}{4}\times p= \dfrac{3}{4} p = \bold{0.75p}[/tex]

She add on  2 pints of water  to 0.75 p in pot, then it becomes  total of 11 pints of water.

In ,mathematically expressed as,

[tex]\begin{alligned}0.75p+2&=11\\0.75p&=11-2\\0.75p&=9\\p&=\frac{9}{0.75}\\\bold{p&=12}\end{alligned}[/tex]

Therefore, there is total amount of 12 pints water.

For further details,please refer this link:

https://brainly.com/question/11897796

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