A videotape can record 2 hours on short play, 4 hours on long play, or 6 hours on extra long play. After recording 32 minutes on short play and 44 minutes on long play, how many minutes can it record on extra-long play

It can record 198 mintues on extra-long play

Step-by-step explanation:

The full battery (100%) of the videotape is:

2 hours (120 minutes) on short play

4 hours (240 minutes) on long play

6 hours (360 minutes) on extra long play.

32 minutes on short play

It used 32/120 = 0.2667 of the battery

44 minutes on long play

it used 44/240 = 0.1833 of the battery

Battery used:

0.2667 + 0.1833 = 0.45

Battery remaining

1 - 0.45 = 0.55

Out of 6 hours (360) on long play

0.55*360 = 198

It can record 198 mintues on extra-long play