10. Algebra There are 267 students and 21 adults going on a school trip. An equal number of people will ride on each bus. If there are 9 buses, how many people will ride on each bus? Write and solve equations.
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To find out how many people will ride on each bus, first, determine the total number of people going on the trip by adding the students and adults together: 267 students + 21 adults = 288 people. Then, divide the total number of people by the number of buses: 288 ÷ 9 = 32. So, each bus will have 32 people riding on it. In equation form, it can be expressed as: Let \( x \) be the number of people per bus. The equation is: \[ 9x = 288 \] Solving for \( x \) gives \( x = 32 \). Each bus will carry 32 people!