A factory produces 305 bottles per day.
For how many days does the factory need to work in order to produce 2135 bottles?
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A factory produces 305 bottles per day.
For how many days does the factory need to work in order to produce 2135 bottles?
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:
Let's apply the formula:
Number of days required = .
Now, we perform the division:
.
Therefore, the factory needs to operate for 7 days to produce 2135 bottles.
7
Sarah pays $1 for every hour of air conditioning she operates. Last month she paid 180$.
Write an equation to find out how many hours the air conditioner was on that month.
Think about it logically: you want to find how many groups of 305 bottles fit into 2135 total bottles. Division tells you how many equal groups you can make!
If you get a decimal or remainder, round up to the next whole day. You can't work a partial day to meet your exact production goal!
Multiply your answer by the daily rate: 7 days × 305 bottles/day = 2135 bottles. If it equals the target amount, you're correct!
You can estimate first! Since 300 × 7 = 2100, and 2135 is close to 2100, the answer should be close to 7 days.
Remember: big number ÷ small number = days. The total bottles needed (2135) is always larger than the daily production (305).
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