MATHEMATICS

JAMB 2022 - Question 20

Mathematics 2022 JAMB Past Questions - Question 20: If 3 gallons of spirit containing 20% water is added to 5gallons of another spirit containing 15% water, what percentage of the mixture is water?

If 3 gallons of spirit containing 20% water is added to 5gallons of another spirit containing 15% water, what percentage of the mixture is water?
A:
B:
C:
D:
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Correct Answer

B

Explanation

To find the percentage of water in the mixture, we need to calculate the total amount of water and the total volume of the mixture.The first spirit contains 20% water and has a volume of 3 gallons. Therefore, it contains 0.2 * 3 = 0.6 gallons of water.The second spirit contains 15% water and has a volume of 5 gallons. Therefore, it contains 0.15 * 5 = 0.75 gallons of water.The total amount of water in the mixture is 0.6 + 0.75 = 1.35 gallons.The total volume of the mixture is 3 + 5 = 8 gallons.To find the percentage of water in the mixture, we divide the total amount of water by the total volume of the mixture and multiply by 100:Percentage of water = (1.35 / 8) * 100 = 16.875%Therefore, the percentage of water in the mixture is approximately 16.875%.