Question

Randy wants to join a gym to lose his winter weight. Gym A has a membership fee of $39 and charges $30 per month. Gym B has a membership fee of $89 and charges $20 per month. After how many months would the amount of money paid at each gym be the same? How much would be paid?

Answer 1

After 5 months, Gym A and Gym B will cost the same amount, which is $189 in total for each gym.

Step-by-step explanation:

The question at hand involves determining after how many months the total cost of two gym memberships will be the same and what would be the total amount paid at that point. We need to set up an equation where the cost of Gym A equals the cost of Gym B. Here's how we can do it:

• Let x be the number of months after which the total costs are equal.
• Cost of Gym A: $39 + $30x, where $39 is the membership fee and $30 is the monthly fee.
• Cost of Gym B: $89 + $20x, where $89 is the membership fee and $20 is the monthly fee.

To find out after how many months the costs will be the same, we set the two costs equal to each other and solve for x:

1. $39 + $30x = $89 + $20x
2. $30x - $20x = $89 - $39
3. $10x = $50
4. x = 5 months

After 5 months, both gym memberships will cost the same. To find out the total amount paid, we substitute x back into either Gym's cost equation:

Total cost for either gym after 5 months: $39 + $30(5) = $189 or $89 + $20(5) = $189

Answer 2

5 months

Step-by-step explanation:

Value m= months

Gym A Money needed to pay= 30m+ 39

Gym B Money needed to pay= 20m+ 89

30m+ 39= 20m+ 89

Now isolate m

(30m-20m) + (39-39)= (20m-20m) + (89-39)

10m = 50

10m/10= 50/10

m=5; You can plug this number in to check my answer.