Write an equation and show all work.
One Monday, 405 students went on a trip to the zoo. All 7 buses were filled and 6 students had to travel in cars. How many students were in each bus?
(My teacher taught the class but no one even understand, can you please help me and show me more details how to solve this type of question. Thanks Thanks Thanks!)
7x + 6 = 405
Subtract 6 from both sides of the equation.
7x = 399
x = 399/7
x = 57
This means that the number of students did not exactly fill the total capacity of the 7 buses, because there are 6 who had to travel in cars.
What we'll do here is first, we subtract the 6 "extra" students from the 405, so that we'll know the exact, total capacity of the 7 buses:
405 - 6 = 399 students
Now, to get the capacity of each bus, we divide 399 by 7. We expect to have a whole number (or no remainder):
399 / 7 = 57 students
Therefore, the number of students (total capacity) in each bus is 57 students.
Hope this helps~ :3
Thank you so very much!!! I still have 9 more questions and I will use this example to solve them. Thanks again Ms.Sue & Jai :)
Of course! I'll walk you through the process step by step.
1. Let's start by representing the unknown value, the number of students in each bus, with the variable "x".
2. We are given that there were 7 buses. Since all 7 buses were filled, we can multiply the number of buses by the number of students in each bus: 7x.
3. Additionally, we know that there were 6 students who had to travel in cars. To find the total number of students, we need to add these students to the number of students on the buses: 7x + 6.
4. Finally, since we are told that a total of 405 students went on the trip, we can set up an equation by equating the total number of students to 405: 7x + 6 = 405.
Now we can solve the equation to find the number of students in each bus.
5. To solve for x, we start by isolating the variable term by subtracting 6 from both sides of the equation: 7x = 405 - 6, which simplifies to 7x = 399.
6. Next, we divide both sides of the equation by 7 to find the value of x: x = 399 รท 7, which gives us x = 57.
Therefore, there were 57 students in each bus.