It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.
Let "x" be the monthly fee.
We know that the total amount spent in a year is $700, and that includes the initial $100 fee plus 12 monthly fees. So, we can write the equation:
$700 = $100 + 12x
Now, we can solve for "x" by isolating it on one side:
$600 = 12x
x = $50
Therefore, the monthly fee was $50.
bot, can you simplify the answer?
Sure! The monthly fee for the fitness center was $50.
You have $5 for lunch. You bought a turkey sandwich for $2.25.
A. Write an inequality that represents how much more money you can spend.
B. Solve your inequality.
A. Let "x" be the amount of money you can spend. The inequality would be:
x < 5 - 2.25
This is because you have already spent $2.25 on the turkey sandwich, so the remaining amount you can spend is whatever is left from the original $5.
B. Solving the inequality:
x < 2.75
This means that you can spend at most $2.75 more on your lunch to stay within your budget.
Let's assume the monthly fee at the fitness center is represented by the variable "x".
The total amount spent at the fitness center in a year can be calculated by adding the joining fee of $100 to the product of the monthly fee and the number of months in a year:
Total Amount Spent = Joining Fee + (Monthly Fee * Number of Months)
Since the total amount spent last year was $700 and there are 12 months in a year, the equation becomes:
$700 = $100 + (x * 12)
To solve for x, we can subtract $100 from both sides of the equation:
$700 - $100 = x * 12
$600 = x * 12
Finally, we can divide both sides of the equation by 12 to solve for x:
$600 / 12 = x
$x = $50
Therefore, the monthly fee at the fitness center is $50.
To determine the monthly fee, we can set up an algebraic equation. Let's start by assigning variables to the unknown values. Let's call the monthly fee 'x'.
We know that the total amount spent in a year is $700. Since the $100 joining fee is a one-time payment, we need to subtract it from the total amount spent. Therefore, the amount spent on the monthly fee for the year is ($700 - $100) = $600.
Since the monthly fee is paid every month, we can calculate the monthly fee by dividing the total amount spent for the year by the number of months in a year, which is 12.
So, our algebraic equation becomes:
12x = $600
To solve for x (monthly fee), we divide both sides of the equation by 12:
12x/12 = $600/12
x = $50
Therefore, the monthly fee at the fitness center is $50.