Club A offers a starter fee for $17 plus a monthly fee of $11. Club B offers a starter fee of $23 and a monthly fee of $14. How many months untill the prices will be the same?
let the number of months be n
solve for n
11n + 17 = 14n + 23
Your equation will not have a positive solution for m.
This is a flawed question.
To find out how many months it will take for the prices of Club A and Club B to be the same, we need to set up an equation. Let's assume the number of months is represented by "x".
For Club A, the total cost (C₁) can be calculated using the formula:
C₁ = Starter fee + (Monthly fee * number of months)
C₁ = $17 + ($11 * x)
For Club B, the total cost (C₂) can be calculated using the same formula:
C₂ = Starter fee + (Monthly fee * number of months)
C₂ = $23 + ($14 * x)
To find the number of months when the prices will be the same, we'll set C₁ equal to C₂ and solve for "x":
$17 + ($11 * x) = $23 + ($14 * x)
Now, let's solve the equation:
$11x - $14x = $23 - $17
-$3x = $6
Divide both sides of the equation by -3 to isolate "x":
x = -$6 / -3
x = 2
Therefore, it will take 2 months for the prices of Club A and Club B to be the same.