Riley spent half the sum of his monthly allowance and $5 on a refurbished computer monitor, which cost $45. Interpret the meaning of the solution in the context of the problem 12(x+5)=45
The equation 12(x+5)=45 represents the problem's context where Riley spent half of his monthly allowance (x) and an additional $5 on a refurbished computer monitor that costs $45.
To interpret the meaning of the solution, we need to solve the equation. Expanding the equation, we have 12x + 60 = 45. Subtracting 60 from both sides gives 12x = -15. Dividing both sides by 12, we get x = -15/12 or x = -5/4.
Since monthly allowances are typically positive values, the negative solution x = -5/4 does not make sense in the context of the problem. Therefore, there is no valid solution for this equation.