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GED Math · Question of the Day

GED Math Question of the Day

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Friday, October 9, 2026

A rental company has a fleet of 25 vehicles, consisting of cars and vans. Cars can seat 5 people, and vans can seat 8 people. The total seating capacity of the entire fleet is 155.

How many vans are in the fleet?

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Question of the Day

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A rental company has a fleet of 25 vehicles, consisting of cars and vans. Cars can seat 5 people, and vans can seat 8 people. The total seating capacity of the entire fleet is 155.

How many vans are in the fleet?

  1. 10 (correct answer)
  2. 12
  3. 15
  4. 25

Explanation: Let 'c' be the number of cars and 'v' be the number of vans. We can create a system of two equations:

  1. Total vehicles: c + v = 25
  2. Total seating capacity: 5c + 8v = 155 From equation (1), express c in terms of v: c = 25 - v. Substitute this expression into equation (2): 5(25 - v) + 8v = 155 125 - 5v + 8v = 155 125 + 3v = 155 3v = 30 v = 10 There are 10 vans in the fleet.
Distractor C is the number of cars (c = 25 - 10 = 15). Distractor B is a plausible result of a calculation error. Distractor D is the total number of vehicles in the fleet.