Final answer:
The student's equation 'Twelve more than three quarters of a number equals thirty-six' translates to 3/4n + 12 = 36. The steps to solve this include subtracting twelve from both sides and multiplying by the reciprocal of 3/4, resulting in n = 32.
Step-by-step explanation:
The student's question asks for the solution to the algebraic equation where twelve more than three quarters of a number is equal to thirty-six. We translate this into the equation 3/4n + 12 = 36. To find 'n', the steps we follow would be:
- Subtract 12 from both sides of the equation: 3/4n = 24.
- Multiply both sides by the reciprocal of 3/4 to solve for 'n': n = 24 × 4/3.
- Calculate the result: n = 32.
This method involves understanding fractions and their operations, much like knowing that half of a pie plus another quarter of a pie equals three quarters of a pie. In similar fashion, recognizing how to combine and compare fractions is key when solving such equations.