Question

Can u guys please answer this question ASAP.

A doctor charges $21.80 for consultations that last less than 10 minutes and $27.50 for those that last longer than 10 minutes. Yesterday the doctor earned $1077.90. If 28 consultations lasted less than 10 minutes, how many patients stayed for longer than 10 minutes?

Answer 1

Answer: 17 patients stayed for longer than 10 minutes.

Step-by-step explanation:

Let x represent the number of patients that stayed for longer than 10 minutes.

The doctor charges $21.80 for consultations that last less than 10 minutes and $27.50 for those that last longer than 10 minutes. Yesterday the doctor earned $1077.90. If 28 consultations lasted less than 10 minutes, it means that

28 × 21.80 + x × 27.50 = 1077.90

610.4 + 27.5x = 1077.9

27.5x = 1077.9 - 610.4

27.5x = 467.5

x = 467.5/27.5

x = 17

Answer 2

Answer:

less than 10min per 1 =$21.80

longer 10 min per 1 =$27.50

so, 28 consultation = $21.80×28 =$610.40.

so to get those longer than 10min.

total earned—total 28 consultant= total longer 10min.

= $1077.90 — $610.40=$467.50.

so to get total number of longer 10min consultation.

total longer 10min consultation ÷ longer 10min per 1= total number of longer 10min consultation.

= $467.50÷$27.50= 17.

so the total number of people for longer than 10min consultation is 17.