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

Question

UpStudy AI · Accepted Answer

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?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions