A workshop mixes coolant concentrate and water in a 3:2 ratio for a machine cooling system. If the total mixture required is 25 liters, how many liters of coolant concentrate are required?
15 liters
To find out how many liters of coolant concentrate are required in a mixture, use the given ratio of coolant concentrate to water, which is 3:2. The total mixture required is 25 liters.
Here's a step-by-step breakdown of the solution:
- First, determine the sum of the parts in the ratio. The ratio provided is 3:2, so the total parts are: \(3 + 2 = 5\).
- Next, find the portion of the mixture that is coolant concentrate. Since the ratio of coolant concentrate is 3 parts out of 5, the formula to find the liters of coolant concentrate is: \(\frac{3}{5} \times 25 \, \text{liters}\).
- Calculate the amount of coolant concentrate: \(\frac{3}{5} \times 25 = 15 \, \text{liters}\).
Therefore, the amount of coolant concentrate needed is 15 liters.
Conclusion: The correct option is 15 liters. This correctly reflects the ratio and total mixture requirements.
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