A building has two sizes of apartments, small and regular. The ratio of small apartments to regular apartments is 14 to 6. What percent of apartments in the building are small?
Understand the Problem
The question is asking us to find the percentage of small apartments in a building, given the ratio of small apartments to regular apartments.
Answer
70%
Answer for screen readers
70%
Steps to Solve
- Find the total number of apartments based on the given ratio
The ratio of small apartments to regular apartments is 14 to 6. This means for every 14 small apartments, there are 6 regular apartments. The total number of apartments is the sum of small and regular apartments:
$14 + 6 = 20$
- Calculate the fraction of small apartments
To find the fraction of small apartments, we divide the number of small apartments by the total number of apartments:
$\frac{14}{20}$
- Convert the fraction to a percentage
To convert the fraction to a percentage, we multiply the fraction by 100:
$\frac{14}{20} \times 100 = 70$
Therefore, 70% of the apartments in the building are small.
70%
More Information
The problem involves ratios and percentages, which are common in everyday calculations.
Tips
A common mistake is to calculate the percentage based on only one part of the ratio (e.g., calculating $14/100$ instead of $14/(14+6)$). Another common mistake is to forget to multiply by 100 when converting a fraction into a percentage.
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