Problema Solution

A high school marching band of 205 students went to a competition. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

Answer provided by our tutors

let


x = the number of cars


y = the number of buses


They took 9 vehicles, some cars and some buses:


x + y = 9


A high school marching band of 205 students went to a competition and each car holds 5 students and each bus hold 45 students:


5x + 45y = 205


by solving the system of equations:


x + y = 9


5x + 45y = 205


we find:


x = 5 cars


y = 4 buses


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they took 5 cars and 5 buses.