marco is limited to 7 hours of screen time each week. he decides to watch a movie that is 1 hour and 20 minutes on sunday. if he divides the remainder of time equally amongst the other six days, then how many minutes can h.e watch each day? write and solve an inequality.

Respuesta :

Marco can watch TV for at most 56 minutes each day.

Step-by-step explanation:

Given,

Time of screen each week = 7 hours

1 hour = 60 minutes

7 hours = 60*7 = 420 minutes

Length of movie = 1 hour + 20 minutes = 60 + 20 = 80 minutes

Time left for other days = 420 - 80 = 340 minutes

Number of days = 6

Let,

x be the time per day for remaining 6 days.

Number of days * Time per day ≤ Time remaining

[tex]6x\leq 340[/tex]

Dividing both sides by 6

[tex]\frac{6x}{6}\leq \frac{340}{6}\\x\leq 56.66[/tex]

Marco can watch TV for at most 56 minutes each day.

Keywords: inequality, division

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