At Scholarly Publishing Inc., 1/4 of the staff commute by bus and 1/2 drive to their jobs. Among those who neither take the bus nor drive, 1/3 use the subway, while the others either walk or cycle. If 1/6 of the remaining employees cycle to work, what fraction of the employees walk to work?
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Official Explanation
To determine the fraction of employees who walk to work at Scholarly Publishing Inc., let's break down the information step by step.
Total Employees:
Let the total number of employees be represented as (or 100%).
Employees Commuting by Bus or Driving:
- of the staff commute by bus.
- of the staff drive to work.
Combined, the fraction of employees who either take the bus or drive is:
Remaining Employees:
The fraction of employees who neither take the bus nor drive is:
Employees Using the Subway:
Among the remaining , use the subway. Therefore:
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What it tests
Your ability to convert between fractions, ratios, and decimals and to reason proportionally.
Common trap
Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.