Question

Carly tutors students in math on the weekends and offers both thirty-minute sessions and sixty-minute sessions. She earns $15 for each thirty-minute session and $25 for each sixty-minute session.

If she earned $230 this past weekend and had x thirty-minute sessions and x-2
sixty-minute sessions, what is the value of x?

Answer 1

The value of x is 7. The correct option is A. 7
Solving Linear equations
From the question, we are to determine the value of x
From the given information,
Carly earns $15 for each thirty-minute session and $25 for each sixty-minute session
Also,
She earned $230 this past weekend and had x thirty-minute sessions and x - 2 sixty-minute sessions
Then, we can write that
x × $15 + (x -2) × $25 = $230
Solve for x in the equation
15x + 25(x -2) = 230
15x + 25x - 50 = 230
40x - 50 = 230
40x = 230 + 50
40x = 280
x = 280/40
x = 7
Hence, the value of x is 7. The correct option is A. 7