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 sixty-minute sessions, what is the value of x?
Answers
Answer:
7
Step-by-step explanation:
(X x 15)+((X-2)25)=230
15x+25x-50=230
40x-50=230
40x-50+50=230+50
40x=280
40x/40=280/40
x=7
Given: 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. She earned $230 this past weekend and had x thirty-minute sessions and x-2 sixty-minute sessions.
To find: Value of x
Solution: Money earned for a thirty-minute session= $15
Total number of thirty-minute session= x
Money earned by taking thirty-minute sessions
= Money earned for a thirty-minute session× Total number of thirty-minute session
= 15x
Money earned for a sixty-minute session= $25
Total number of thirty-minute session= x-2
Money earned by taking sixty-minute sessions
= Money earned for a sixty-minute session× Total number of sixty-minute session
= 25(x-2)
= 25x-50
Total money earned
= 15x + 25 x-50
= 40x-50
But it is given that total money earned is $230.
Therefore,
40x-50= 230
=> 40x = 230+50
=> 40x = 280
=> x = 280/40
=> x = 7
Therefore, the value of x for the question is 7.