Question

Chelsey wants to join a fitness club the fitness club charges an initial membership fee of $55 and a monthly fee of $19.50. she has 250 to spend on a membership at the fitness club. write and solve an equation to find the number of mouths chelsey can be a member of the fitness club.

Chelsey has enought money to be a member for _____ months

Answer 1

To determine the number of months Chelsey can be a member of the fitness club, we can set up the equation based on her budget and the club's fees.

Let \( m \) represent the number of months Chelsey can be a member.

The total cost for her membership can be represented by the equation:

\[
\text{Total Cost} = \text{Initial Membership Fee} + (\text{Monthly Fee} \times \text{Number of Months})
\]

Substituting the known values:

\[
\text{Total Cost} = 55 + 19.50m
\]

Chelsey has a total of $250 to spend, so we set up the equation:

\[
55 + 19.50m \leq 250
\]

Now, we can solve for \( m \):

1. Subtract 55 from both sides:

\[
19.50m \leq 250 - 55
\]

\[
19.50m \leq 195
\]

2. Now, divide both sides by 19.50:

\[
m \leq \frac{195}{19.50}
\]

Calculating the right side:

\[
m \leq 10
\]

This means Chelsey can be a member of the fitness club for **10 months**.

Therefore, Chelsey has enough money to be a member for **10 months**.