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

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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

Mathematics

1 answer:

aksik [14] · Answer 1 · 2023-04-18T04:37:53+03:00

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

<h3>The system of equations </h3>

The given parameters are:

Initial fee = $300
Charges = $3 per visit

<u>Sally's Salon</u>

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

<h3>Number of visits before the plans are equal</h3>

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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