Question

Difficulty: MediumCalculating Percentages of Quantities

Calculate the missing value based on the provided scenario.

Answer:A military hospital pharmacy currently stocks 850850 units of a specific antibiotic. If 38%38\% of this stock is distributed to various clinics on the base, there will be 【527】 units remaining in the main pharmacy.

Answer

527
To find the number of remaining units, you can first subtract the distributed percentage from 100%100\% (100%−38%=62%100\% - 38\% = 62\%). Next, convert 62%62\% to a decimal (0.620.62) and multiply it by the total stock (0.62×850=5270.62 \times 850 = 527). Alternatively, you could calculate the number of units distributed (0.38×850=3230.38 \times 850 = 323) and subtract that amount from the original stock (850−323=527850 - 323 = 527).

Step-by-Step Solution

1
Determine the percentage of the antibiotic stock that will remain.
$100\% - 38\% = 62\%
Since 38%38\% of the stock is distributed, the remainder is the difference between 100%100\% and 38%38\%.
2
Convert the remaining percentage to a decimal.
62%=0.6262\% = 0.62
Percentages must be converted into decimals or fractions before they can be used in multiplication.
3
Calculate 62%62\% of the total stock.
0.62×850=5270.62 \times 850 = 527
Multiplying the decimal representation of the remaining percentage by the total original stock gives the number of units left.

Key Concept

Calculating the remaining amount by applying the complementary percentage to a whole quantity.
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