Word Problem

Question

You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $19.Club B offers membership for a fee of $20 plus a monthly fee of $15.After how many months will the total cost of each health club be the same? What will be the total cost for each club?

Answer 1

HI Lisa, let m represent the number of months. Set up two equations representing the cost for each club.

 

Equation 1, Club A:

 

Cost club A = 12 + 19m

 

Equation 2, Club B:

 

Cost club B = 20 + 15m

 

To find the solution, the cost of club A must equal the cost of Club B:

 

12 + 19m = 20 + 15m

 

Combine terms:

 

4m = 8

 

m = 2

 

In two months the totals for each club will be the same.

 

Total for club A:

 

Cost = 12 + 19 * 2

 

Cost = 50

 

The total cost for club A is $50.

 

Total for club B:

 

Cost = 20 + 15 * 2

 

Cost = 50

 

The total cost for club B is $50.

 

Questions?

Answer 2

19m + 12 = 15m + 20

4m = 8

m = 2

 

15(2) + 20 = 50

 

It will take 2 months and the cost will be $50.