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Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.

Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.



Answer :

semsee45

Answer:

A)  2 appointments

B)  3 appointments

Step-by-step explanation:

Part A

Let x = number of dog grooming appointments Maci had in one day.

Given information:

  • Charge per appointment = $60
  • Total amount earned = $170
  • Total amount of tips earned = $50

Create an equation with the given information:

⇒ 60x + 50 = 170

Solve the equation:

⇒ 60x + 50 - 50 = 170 - 50

⇒ 60x = 120

⇒ 60x ÷ 60 = 120 ÷ 60

⇒ x = 2

Therefore, Maci had 2 appointments.

Part B

Let x = number of dog grooming appointments Logan had.

Given information:

  • Charge per appointment = $75
  • Total amount earned = $235
  • Total amount of tips earned = $40
  • Rental fee per appointment = $10

Create an equation with the given information:

⇒ 75x - 10x + 40 = 235

Solve the equation:

⇒ 65x + 40 = 235

⇒ 65x + 40 - 40 = 235 - 40

⇒ 65x = 195

⇒ 65x ÷ 65 = 195 ÷ 65

⇒ x = 3

Therefore, Logan had 3 appointments.

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