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GRE
GRE Quantitative Reasoning Section

Calculating Commuting Residents in a City

Very Hard Arithmetic Fractions, Decimals, And Percents

In a certain city, it is observed that 40% of the residents commute using public transportation. Among those who do not use public transportation, 25% carpool to work, while the remaining commute alone. If the city has a total population of 100,000 residents, how many residents primarily commute alone?

Let’s define:

  • Public Transportation Users: $PT = 40\% \times 100,000$
  • Non-Public Transportation Users: $NPT = 100,000 - PT$
  • Carpool Users: $CP = 25\% \times NPT$
  • Residents Commuting Alone: $A = NPT - CP$

Hint

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