Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165. The equation represents the $495 total cost that Barbara paid to Dance Unlimited. 495 = 165 + 55m How many months, m, did Barbara receive dance lessons from Dance Unlimited?

Respuesta :

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

[tex]495=165+55m[/tex]

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

[tex]495=165+55m[/tex]

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

[tex]495-165=55m[/tex]

[tex]330=55m[/tex]

Divide both sides by 55.

[tex]\dfrac{330}{55}=m[/tex]

[tex]6=m[/tex]

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.