Show ALL work or explain in details the correct solution:

Which equation represents “fifteen more than r is sixty-one”?

I know the answer is r + 15 = 61 but how would I explain how i got the correct solution/show all work?

"more than" means add

So what kind of equation could i make for this?

r=46 + 15 = 61

"fifteen more than r" ... r+15

"is" ... =
so,
r+15 = 61

To find the equation that represents "fifteen more than r is sixty-one", we need to understand the concept of "fifteen more" and how it applies to mathematical equations.

"Fifteen more than r" means that we take the value of r and add fifteen to it. So, mathematically, we can represent this as r + 15.

The phrase "is sixty-one" indicates that the result of adding fifteen to r should be equal to sixty-one.

Putting it all together, we have the equation: r + 15 = 61.

To check if this equation represents the statement accurately, we can solve it by isolating r.

Subtracting 15 from both sides of the equation:
r + 15 - 15 = 61 - 15
r = 46

We find that when we substitute r = 46 back into the equation, it holds true:
46 + 15 = 61

Therefore, the equation r + 15 = 61 is the correct representation of "fifteen more than r is sixty-one".