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 go find the number of months chelsey can be a member of the fitness club

Respuesta :

Answer:

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

Step-by-step explanation:

Given:

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.

Now, to find the number of months Chelsey can be a member of the fitness club.

Let the number of months Chelsey can be a member of the fitness club be [tex]x.[/tex]

Monthly fee = $19.50.

Membership fee = $55.

Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:

[tex]55+19.50(x)=250.[/tex]

[tex]55+19.50\times x=250\\\\55+19.50x=250[/tex]

Subtracting both sides by 55 we get:

[tex]19.50x=195[/tex]

Dividing both sides by 19.50 we get:

[tex]x=10.[/tex]

Therefore, Chelsey can be a member of the fitness club for 10 months.