Final answer:
To create an equation from the statement, use a variable (e.g., x) for the unknown number, add 5 to it, divide by 2 and set it equal to 75, resulting in the equation (x + 5) / 2 = 75 which solves to x = 145.
Step-by-step explanation:
To write an equation for the statement 'A number increased by 5 and divided by 2 is equal to 75,' you can start by letting the number be represented by the variable x. The phrase 'increased by 5' translates to 'x + 5', and 'divided by 2' translates to '(x + 5) / 2'. So the equation is the following:
(x + 5) / 2 = 75
You can solve this equation by multiplying both sides by 2 to eliminate the fraction:
2 * ((x + 5) / 2) = 2 * 75
x + 5 = 150
Then you can subtract 5 from both sides to solve for x:
x + 5 - 5 = 150 - 5
x = 145
So, the original number is 145.