Final answer:
To solve the algebraic equation 'nine minus four times a number divided by two is equal to three', translate the words into numbers and operations, isolate the variable by performing inverse operations, and solve the resulting simple equation to find that the number is 3.
Step-by-step explanation:
The question 'nine minus four times a number divided by two is equal to three' is a mathematical equation that can be solved to find the unknown number. To solve this equation, you would perform the following steps:
- Let the unknown number be represented by 'x'.
- Translate the question into an equation: 9 - (4x)/2 = 3.
- Start by multiplying both sides by 2 to get rid of the fraction: 2*(9 - (4x)/2) = 3*2, which simplifies to 18 - 4x = 6.
- Next, add 4x to both sides: 18 - 4x + 4x = 6 + 4x, which simplifies to 18 = 6 + 4x.
- Then, subtract 6 from both sides to isolate the term with 'x': 18 - 6 = 6 + 4x - 6, which simplifies to 12 = 4x.
- Finally, divide both sides by 4 to solve for 'x': 12/4 = 4x/4, which simplifies to 3 = x.
The solution to the equation is that the number in question is 3.