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
After how many months will the total cost of the dance lessons be equal at the two studios?
A.) 5
B.) 280
C.) 9
D.) 430
Let x represent the number of months.
The total cost at Studio Q is given by: 30 + 80x
The total cost at Studio R is given by: 105 + 65x
Set the two total costs equal to each other and solve for x:
30 + 80x = 105 + 65x
15x = 75
x = 5
After 5 months, the total cost of the dance lessons will be equal at both studios.
Therefore, the answer is A.) 5