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Difficulty: EasyCalculating Percentages of Quantities

A base housing maintenance team is inspecting a total of 150150 residential units. If 30%30\% of these units require new HVAC filters, calculate the number of units that need new filters.

Answer:The maintenance team needs to replace the HVAC filters in 【45】 units.

Answer

45
To determine how many units require new filters, find 30%30\% of 150150. First, convert 30%30\% to its decimal form, which is 0.300.30. Next, multiply the total number of units by this decimal: 150×0.30=45150 \times 0.30 = 45. Therefore, exactly 4545 units need new filters.

Step-by-Step Solution

1
Convert the given percentage to a decimal equivalent.
30%=0.3030\% = 0.30
Percentages must be expressed as decimals (or fractions) to be used mathematically in multiplication.
2
Multiply the total number of units by the decimal.
150×0.30=45150 \times 0.30 = 45
Multiplying the total quantity by the percentage representation yields the exact portion requested.

Key Concept

Calculating a specific percentage of a whole quantity by converting the percent to a decimal and multiplying.
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Topics

Calculating Percentages of Quantities

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