Kim and Cyndi are starting a business tutoring students in math. Kim rents an office for $350 per month and charges $20 per student. Cyndi rents an office for $400 per month and charges $15 per student. How many students do they have to teach per month in order to make the same amount of money?

Step-by-step explanation:

Kims Charges

rent per month =$350

charges=$20 per students

let the number of students be x

and the total be y

y=mx+c

y=20x+3501

Cyndis Charges

rent per month =$400

charges=$15 per students

let the number of students be x

and the total be y

y=mx+c

y=15x+4002

Equating the two equations above to solve for x

20x+350=15x+400

20x-15x=400-350

5x=50

x=50/5

x=10

The number of students is 10 for the two of them to have the same amount