Division Problem: Calculate Days Needed for 305 Daily Bottles to Reach 2135 Total

Question

A factory produces 305 bottles per day.

For how many days does the factory need to work in order to produce 2135 bottles?

Step-by-Step Solution

We need to determine how many days a factory producing 305 bottles per day will take to produce 2135 bottles.

The key to solving this problem is understanding the relationship between the total desired output and the rate of production. In this case, we employ the formula to find the number of days:

  • The number of days required = Total bottles neededBottles produced per day\frac{\text{Total bottles needed}}{\text{Bottles produced per day}}.

Let's apply the formula:

Number of days required = 2135305\frac{2135}{305}.

Now, we perform the division:

2135÷305=72135 \div 305 = 7.

Therefore, the factory needs to operate for 7 days to produce 2135 bottles.

Answer

7