A pool was filled with water over the course of two days:
If on the first day, the pool was filled with 180 of water constituting 40%.
What is the total amount of water used to fill the pool?
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A pool was filled with water over the course of two days:
If on the first day, the pool was filled with 180 of water constituting 40%.
What is the total amount of water used to fill the pool?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We are informed that 40% of the pool's capacity is filled with 180 of water.
This means that 40% of the pool's total capacity equals 180 .
Step 2: To find the total capacity (denoted by ), use the percentage formula:
Step 3: Substitute the known values into the formula:
This simplifies to:
Therefore, the total capacity of the pool is 450 .
450 m³
Calculate 30 over 100 as a percentage:
When you know the part and need the whole, you divide! Think of it this way: if 40% equals 180, then 100% equals how much? Use the formula:
Simply move the decimal point two places left! For example: 40% becomes 0.40 or 0.4, and 25% becomes 0.25. This works because percent means 'per hundred'.
Look for key words! The problem says '180 m³ constituting 40%' - this tells you 180 is the part (40% of something), and you need to find the whole (total capacity).
Yes! Set up the proportion: , then cross-multiply: 40x = 18,000, so x = 450 m³. Both methods give the same answer!
Think about it logically: if 180 m³ is only 40% of the pool, the total should be more than double that amount. Since 450 > 360 (double of 180), this makes sense!
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