If only half as much milk is used each day, after how many days will more milk need to be purchased?

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To determine after how many days more milk will need to be purchased if only half as much milk is used each day, we can set up a simple equation based on the given information.

Let's assume that the initial amount of milk used each day is $$ x $$ gallons. If only half as much milk is used each day, the new amount of milk used each day will be $$ \frac{x}{2} $$ gallons.

The total amount of milk used after $$ n $$ days can be represented as:
$$ \text{Total milk used} = x \times n $$

Since only half as much milk is used each day, the total amount of milk used after $$ n $$ days will be:
$$ \text{Total milk used} = \frac{x}{2} \times n $$

We want to find out after how many days more milk will need to be purchased. This means that the total amount of milk used after $$ n $$ days will be equal to the initial amount of milk used each day, which is $$ x $$ gallons.

Therefore, we can set up the equation:
$$ \frac{x}{2} \times n = x $$

Solving this equation will give us the number of days after which more milk will need to be purchased.
Solve the equation by following steps:
- step0: Solve for $$n$$:
  $$\frac{x}{2}n=x$$
- step1: Multiply the terms:
  $$\frac{xn}{2}=x$$
- step2: Cross multiply:
  $$xn=2x$$
- step3: Divide both sides:
  $$\frac{xn}{x}=\frac{2x}{x}$$
- step4: Divide the numbers:
  $$n=2$$
To find out after how many days more milk needs to be purchased when only half as much is used each day, set up the equation $$ \frac{x}{2} \times n = x $$. Solving for $$ n $$ gives $$ n = 2 $$ days.

If only half as much milk is used each day, after how many days will more milk need to be purchased?

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