The average temperature from Monday to Thursday is 35 degree Celsius while the average temperature from Tuesday to Friday is 32.5 degree Celsius. If the temperature of Monday is 62.5% more than Friday's temperature, find Monday's temperature?

Sure, let's solve this step by step:

Step 1: Let's denote the temperatures of Monday, Tuesday, Wednesday, Thursday, and Friday as M, T, W, Th, and F respectively.

Step 2: According to the problem, the average temperature from Monday to Thursday is 35 degrees Celsius. This means that the sum of the temperatures from Monday to Thursday divided by 4 equals 35. We can write this as an equation: (M + T + W + Th) / 4 = 35. Simplifying this equation gives us M + T + W + Th = 140.

Step 3: Similarly, the average temperature from Tuesday to Friday is 32.5 degrees Celsius. This means that the sum of the temperatures from Tuesday to Friday divided by 4 equals 32.5. We can write this as an equation: (T + W + Th + F) / 4 = 32.5. Simplifying this equation gives us T + W + Th + F = 130.

Step 4: Now, we have two equations and we can subtract the second equation from the first to find the temperature of Monday minus the temperature of Friday: M - F = 140 - 130 = 10.

Step 5: The problem also tells us that the temperature of Monday is 62.5% more than the temperature of Friday. We can write this as an equation: M = F + 0.625F = 1.625F.

Step 6: Now, we can substitute the equation from step 5 into the equation from step 4 to find the temperature of Friday: 1.625F - F = 10, which simplifies to 0.625F = 10. Solving for F gives us F = 10 / 0.625 = 16.

Step 7: Finally, we can substitute F = 16 into the equation from step 5 to find the temperature of Monday: M = 1.625 * 16 = 26 degrees Celsius.

So, the temperature on Monday is 26 degrees Celsius.