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. x = number of cars taken 9  x = number of buses taken {they took 9 total vehicles} 5x + 45(9  x) = 205 {number of vehicles times number of people per vehicle equals total people} 5x + 405  45x = 205 {used distributive property} 40x + 405 = 205 {combined like terms} 40x = 200 {subtracted 405 from each side} x = 5 cars {divided each side by 40} 9  x = 4 buses {substituted 5, in for x, into 9  x} They took 5 cars and 4 buses.  Algebra House
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