Final answer:
The student's questions are all related to finding solutions to problems using linear equations. The problems involve sequences of numbers, rental costs, and number per group distribution. Basic algebraic techniques and arithmetic operations are applied to solve the questions.
Step-by-step explanation:
The sum of three consecutive numbers is 93. To find the smallest of the three numbers, we can create an equation. If we let the smallest number be n, then the next two numbers would be n+1 and n+2. The equation for their sum would be n + (n + 1) + (n + 2) = 93. Solving for n gives us the smallest number.
For Sara's bike rental, Oceanside Bike Rental Shop charges a 14 dollar fixed fee plus 6 dollars an hour. Sara paid 38 dollars in total. To find the number of hours she had the bike checked out, we use the equation 14 + 6h = 38, where h represents the hours.
The sum of three consecutive odd numbers is 129. Similar to the first question, if we let the smallest odd number be x, the other two would be x+2 and x+4 because odd numbers are two units apart. The equation is x + (x + 2) + (x + 4) = 129. Solving for x gives us the smallest odd number.
Sam's book purchase: With 81 dollars, Sam bought 7 books and had 18 dollars left. The cost per book can be found by subtracting the money left from the total money he had and then dividing by the number of books: (81 - 18) \div 7.
To find the number of students per bus for the zoo trip, we know 411 students went and 6 traveled by car, leaving 411 - 6 students to be transported by the 9 buses. Dividing the number of students by the number of buses will give the number of students in each bus.