A company is making detergent out of soap and water. They made one batch that has 30% soap and another batch which is 60% soap. If they mix 600 liters of the first batch with 300 liters of the second batch, what percent of soap will be in the detergent?
To find out the percentage of soap in the detergent mixture, you need to calculate the total amount of soap in the combined batches and divide it by the total volume of the mixture.
First, let's calculate the amount of soap in each batch:
For the first batch, which has 30% soap, the amount of soap is 30% of 600 liters:
Soap in first batch = 30/100 * 600 = 180 liters
For the second batch, which has 60% soap, the amount of soap is 60% of 300 liters:
Soap in second batch = 60/100 * 300 = 180 liters
Now, let's find the total amount of soap in both batches:
Total soap = Soap in first batch + Soap in second batch
Total soap = 180 + 180 = 360 liters
Next, let's calculate the total volume of the mixture:
Total volume = Volume of first batch + Volume of second batch
Total volume = 600 + 300 = 900 liters
Finally, let's calculate the percentage of soap in the detergent mixture:
Percentage of soap in the detergent = (Total soap / Total volume) * 100
Percentage of soap in the detergent = (360 / 900) * 100
Percentage of soap in the detergent = 40%
Therefore, the detergent will have 40% soap.