Question

How do you solve this ?

Answer 1

Answer:

A. 15 mo; $875

B.  5 mo; $250

Step-by-step explanation:

A. Gym fees

Let n = no. of months

Community Gym: Fees =   50 + 55n

Workout Gym:      Fees = 200 + 45n

When the fees are equal,

50 + 55n = 200 + 45n     Subtract 50 from each side

       55n = 150 + 45n       Subtract 45n from each side

        10n = 150                 Divide each side by 10

          n = 15

Community Gym: Fees = 50 + 55n

                              Fees = 50 + 55×15

                              Fees = 50 + 825

                              Fees = $875

Workout Gym:       Fees = 200 + 45n

                               Fees = 200 + 45×15

                               Fees = 200 + 675

                               Fees = $875

After 15 mo, the fees at each gym will be equal at $875.

B. Computer

Option 1:  Savings = 200 + 10n

Option 2: Savings = 100 + 30n

When the savings are equal,

200 + 10n = 100 + 30n     Subtract 100 from each side

100 + 10n = 30n                  Subtract 10n from each side

          100 = 20n                  Divide each side by 20

              n = 5

Option 1:  Savings = 200 + 10n

                Savings = 200 + 10×5

                Savings = 200 + 50

                Savings = $250

Option 2: Savings = 100 + 30n

                Savings = 100 + 30×5

                Savings = 100 + 150

                Savings = $250

After five months, the savings by either option will be equal at $250.