For a field trip 22 students rode in cars, and the rest filled eleven buses. Which equations would you use to find how many students (s) rode buses if 287students were on the trip?
a. 287-22s=11
b. 287=22+11S
C. 11S-22=287
D. 22=11S-287
I'll be glad to check your answer.
MY ANSWER IS B
I agree.
To solve this problem, let's break it down step by step.
Step 1: Assign variables
Let's assign the variable "s" to represent the number of students who rode buses.
Step 2: Set up the equations based on the given information
We know that the total number of students on the trip is 287. We also know that 22 students rode in cars, so the remaining students must have ridden buses. Therefore, the number of students who rode buses would be 287 minus the number of students who rode cars, which is 22s.
Step 3: Write the equation
Since we are looking for the number of students who rode buses, the equation would be:
287 - 22s = number of students who rode buses
Now let's examine the options given:
a. 287 - 22s = 11
This equation does not accurately represent the given information because it equates the total number of students on the trip to just 11.
b. 287 = 22 + 11s
This equation also does not accurately represent the given information because it equates the total number of students on the trip to the sum of the number of students who rode cars and 11 times the number of students who rode buses.
c. 11s - 22 = 287
This equation is incorrect because it sets the number of students who rode buses equal to 287 plus 22, which is the opposite of what we are trying to find.
d. 22 = 11s - 287
This equation correctly represents the given information because it sets the number of students who rode cars equal to the difference between 287 and 11s.
Therefore, the correct equation to find the number of students who rode buses is:
22 = 11s - 287
Hence, the correct answer is option D.