Final answer:
The solution to the equation 2485/x = 49R35 is x = 50. We arrive at this answer by realizing that 2485 is 49 times some number plus a remainder of 35 and solving the resulting linear equation.
Step-by-step explanation:
To find x in the equation 2485/x = 49R35, we need to understand what the equation is saying. It represents a division problem where 2485 is divided by an unknown number x, and the result is 49 with a remainder of 35. In other words, 2485 is equal to 49 times x plus the remainder of 35. We can represent this algebraically as 2485 = 49x + 35.
Now, we can solve for x by first isolating the term with x on one side. Subtract 35 from both sides, giving us 2450 = 49x. Then, divide both sides by 49 to find x. This gives us x = 2450 / 49. Calculating this value gives us x = 50. Therefore, the solution to the equation is x = 50.