Final answer:
To change the statement 'A number is four times larger than one third of the number' into an equation, we can represent the number as 'x'. The equation is x = 4 * (1/3) * x. There are infinitely many solutions to this equation.
Step-by-step explanation:
To change the statement 'A number is four times larger than one third of the number' into an equation, we can represent the number as 'x'. Since the number is four times larger than one third of the number, we can write the equation as:
x = 4 * (1/3) * x
To solve the equation, we can simplify it:
x = (4/3) * x
Now we can solve for 'x' by multiplying both sides of the equation by the reciprocal of (4/3):
x * (3/4) = (4/3) * x * (3/4)
x = x
So the equation simplifies to:
x = x
The value of 'x' can be any number, so there are infinitely many solutions to this equation.