Dance lessons are offered at two studios. The cost of dance lessons at each studio is shown.
• Studio Q charges a $30 registration fee plus $80 per month. • Studio R charges a $105 registration fee plus $65 per month.
After how many months will the total cost of the dance lessons be equal at the two studios?
5 280 9 430
Let's denote the number of months as x.
For Studio Q, the total cost after x months would be: 30 + 80x
For Studio R, the total cost after x months would be: 105 + 65x
We want to find the number of months when the total cost at both studios will be equal.
Setting the two equations equal to each other:
30 + 80x = 105 + 65x
Rearranging the equation:
15x = 75
Dividing by 15:
x = 5
Therefore, the total cost of the dance lessons will be equal after 5 months.