If a factory reduces its water usage by 30% and uses 7000 liters after the reduc

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Question: If a factory reduces its water usage by 30% and uses 7000 liters after the reduction, what was its water usage before the reduction?

Options:

Correct Answer: 10000 liters

Solution:

Let x be the original usage. x - 0.30x = 7000. Therefore, 0.70x = 7000, x = 7000 / 0.70 = 10000 liters.

If a factory reduces its water usage by 30% and uses 7000 liters after the reduction, what was its water usage before the reduction?

If a factory reduces its water usage by 30% and uses 7000 liters after the reduction, what was its water usage before the reduction?

Step 1: Let x be the original water usage before the reduction.
Step 2: The factory reduces its water usage by 30%. This means it uses 70% of its original amount after the reduction.
Step 3: We can express the water usage after the reduction as x - 0.30x, which simplifies to 0.70x.
Step 4: We know that after the reduction, the factory uses 7000 liters. So we can write the equation: 0.70x = 7000.
Step 5: To find the original usage (x), we need to solve the equation. First, divide both sides by 0.70: x = 7000 / 0.70.
Step 6: Calculate 7000 divided by 0.70, which equals 10000 liters. This is the original water usage before the reduction.

Percentage Reduction – Understanding how to calculate the original value after a percentage reduction.
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