Question

Jim’s Gym has an initial fee of $300 to join the gym and then charges $3 per visit. Sally’s Salon has an initial fee of $250 and then charges $5 per visit. Write a system of equations that represent the total fees charged for each plan. How many visits does it take before the plans are equal? Separate your equations and final number of visits by comas

Answer 1

The system of equation is y = 300 + 3x and y = 250 + 5x and  the number of visits is 25

The system of equations

The given parameters are:

Jim's Gym

• Initial fee = $300
• Charges = $3 per visit

Sally's Salon

• Initial fee = $250
• Charges = $5 per visit

The equation is calculated as:

Total (y) = Initial * Charges * Number of visits (x)

So, the system of equation is

y = 300 + 3x

y = 250 + 5x

Number of visits before the plans are equal

We have:

y = 300 + 3x

y = 250 + 5x

Substitute y = 300 + 3x in y = 250 + 5x

300 + 3x = 250 + 5x

Evaluate the like terms

-2x = -50

Divide by -2

x= 25

Hence, the number of visits is 25

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