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Difficulty: MediumCalculating Percentages of Quantities

An engineering battalion is tasked with laying 4,2004,200 tons of asphalt to repair a section of an airfield runway. By the end of the first week, they have completed 65%65\% of the total required amount. How many tons of asphalt do they still need to lay to complete the repair?

Answer: 1470 tons

Answer

1470
The correct answer is found by determining the remaining percentage of the total project. If 65%65\% of the work is completed, then 100%−65%=35%100\% - 65\% = 35\% remains. To find the exact tonnage, calculate 35%35\% of 4,2004,200 tons by converting the percentage to a decimal and multiplying: 4,200×0.35=1,4704,200 \times 0.35 = 1,470.

Step-by-Step Solution

1
Find the percentage of the asphalt that still needs to be laid.
100%−65%=35%100\% - 65\% = 35\%
The total project represents 100%100\%. Subtracting the completed percentage gives the remaining percentage.
2
Calculate 35%35\% of the total 4,2004,200 tons.
4,200×0.35=1,4704,200 \times 0.35 = 1,470
To find a percentage of a quantity, convert the percentage to a decimal and multiply it by the total quantity.

Key Concept

Calculating the remaining percentage of a whole quantity
Estimated Time:1m 0s
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Topics

Calculating Percentages of Quantities

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