how do I do this?
28 students collected 12,374 soda can tabs. If some of the students collected one more tab than the rest of the students, how many collected 441 and how many collected 442?
solve
442x + 441(28-x) = 12374
To find out how many students collected 441 tabs and how many collected 442 tabs, we can use a system of equations.
Let's assume that x students collected 441 tabs, and therefore (28 - x) students collected 442 tabs.
Now, let's set up the equation:
x(441) + (28 - x)(442) = 12,374
Next, we can solve this equation to find the value of x, which represents the number of students who collected 441 tabs.
441x + 442(28 - x) = 12,374
441x + 12,376 - 442x = 12,374
441x - 442x = 12,374 - 12,376
-x = -2
x = 2
So, there were 2 students who collected 441 tabs, and the remaining students (28 - 2 = 26) collected 442 tabs.
Therefore, 2 students collected 441 tabs and 26 students collected 442 tabs.