Math Problem Statement
On a highway, a wreck occurred and caused a traffic jam 8 miles long on one side of the road. The average car is 13.5 feet in length and the average truck is 20 feet in length. 75% of the traffic jam consists of cars and 25% of trucks. If the average distance between vehicles is 3 feet, how many vehicles are stuck in the traffic jam?
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Percentage Calculations
Unit Conversion
Formulas
Length of traffic jam (feet) = miles * 5280
Length of vehicle with gap = vehicle length + distance between vehicles
Total length equation: 16.5x + 23y = 42,240
Vehicle percentage equation: x = 0.75(x + y), y = 0.25(x + y)
Theorems
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Suitable Grade Level
Grades 9-12