a VIDEO TAPE CAN RECORED 2 HRS ON SHORT PLAY, 4 HRS ON LONG PLAY, OR 6 HRS ON EXTENDED PLAY. after RECORDING 43 MINUTES ON SHORT PLAY AND 27 MINUTES ON LONG PLAY, HOW MANY MINUTES CAN IT RECORD ON EXTENDED PLAY?

Ok, it has 77 short play min left, of which 27 min are on lP, leaving

short play time= 120-77-27/3 left

Now, min left for extended time equals short play time left above times three.

To find out how many minutes the video tape can record on extended play after recording 43 minutes on short play and 27 minutes on long play, we need to determine the remaining recording time for each play mode.

On short play, the video tape can record 2 hours, which is equal to 2 hours * 60 minutes/hour = 120 minutes. Since we have already recorded 43 minutes, the remaining time on short play is 120 minutes - 43 minutes = 77 minutes.

On long play, the video tape can record 4 hours, which is equal to 4 hours * 60 minutes/hour = 240 minutes. Since we have already recorded 27 minutes, the remaining time on long play is 240 minutes - 27 minutes = 213 minutes.

Finally, on extended play, the video tape can record 6 hours, which is equal to 6 hours * 60 minutes/hour = 360 minutes. To find out how many minutes can be recorded on extended play after recording on short and long play, we add the remaining times from short and long play:

Remaining recording time on extended play = 77 minutes (remaining on short play) + 213 minutes (remaining on long play)
= 290 minutes.

Therefore, the video tape can record 290 minutes on extended play after recording 43 minutes on short play and 27 minutes on long play.