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 1/2(x+5)=45
In the given problem, the equation 1/2(x + 5) = 45 is used to represent the situation where Riley spends half of his monthly allowance plus $5 on a refurbished computer monitor, which costs $45.
The equation can be interpreted as follows:
- (x + 5) represents the total amount of money Riley spent on the monitor and $5.
- Half of the sum (1/2(x + 5)) represents the amount of Riley's monthly allowance that he spent on the monitor.
- This amount, represented by 1/2(x + 5), is equal to $45.
Therefore, the solution to the equation, x, represents Riley's monthly allowance. In other words, x is the amount of money that Riley receives as his monthly allowance.
what is the answer
To find the value of x, we can solve the equation:
1/2(x + 5) = 45
To eliminate the fraction, we can multiply both sides of the equation by 2:
2 * 1/2(x + 5) = 2 * 45
This simplifies to:
x + 5 = 90
Next, we can isolate x by subtracting 5 from both sides:
x + 5 - 5 = 90 - 5
This simplifies to:
x = 85
Therefore, the answer is x = 85. This means that Riley's monthly allowance is $85.