Question

A new streaming service charges 5 dollars per month for students, and 10 dollars per month for everyone else. This month, the service had 55 users, and collected 425 dollars. Set up a system of linear equations, and find the number of students using the service this month.

Answer 1

Answer: 25 students used the service this month.

Explanation:

Let x represent the number of students that used the streaming service this month.

Let y represent the number of people apart from students that used the streaming service this month.

This month, the service had 55 users. It means that

x + y = 55

The new streaming service charges 5 dollars per month for students, and 10 dollars per month for everyone else. They collected a total of 425 dollars. It means that

5x + 10y = 425 - - - - - - -1

Substituting x = 55 - y into equation 1, it becomes

5(55 - y) + 10y = 425

275 - 5y + 10y = 425

- 5y + 10y = 425 - 275

5y = 150

y = 150/5 = 30

x = 55 - y = 55 - 30

x = 25

Answer 2

Number of student = 25

Explanation:

Let x be the number of student and y be the others

A new streaming service charges 5 dollars per month for students, and 10 dollars per month for everyone else

`x+y=55\\y=55-x`

`5x+10y=425`

replace y with 55-x

`5x+10y=425\\5x+10(55-x)=425\\5x+550-10x=425\\-5x+550= 425`

Subtract 550 from both sides

`-5x+550= 425\\-5x= -125\\x=25`

`y=55-x\\y=55-25\\y=30\\`

Number of student = 25