## Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days

Question

Sam’s Soups is open 6 days a week, 76 hours in all. Its hours are the same every day, except on Saturday and Sunday. On those days, it is open 2 hours longer. How long is Sam’s Soups open on Sunday? Use an equation to solve.

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3 weeks 2022-12-21T05:53:42+00:00 2 Answers 0 views 0

14 hours
Step-by-step explanation:
Let x be the number of hours open on each of the four days (because it is six days per week) that are not Saturday or Sunday. Thus, the total number of hours on those days would be 4x. Then, we are told that Sam’s Soups are open 2 hours longer on Saturdays and Sundays, so that would be x + 2. There are two of those days, so that would be 2(x + 2). Since all of these hours total 76, we have our equation:
4x + 2(x + 2) = 76
4x + 2x + 4 = 76
6x = 72
x = 12
Remember, 12 hours is the number of hours that Sam’s Soups is open on days that are not Saturday and Sunday. Those days are x + 2. Thus, that is 12 + 2 = 14 hours.

14 hours
Step-by-step explanation:
x = hours on day other than saturday and sunday
y = hours on Saturday and Sunday.
Sam’s soups are only open 6 days a week, and 2 are weekends, so it is only open on 4 weekdays.
4x + 2y = 76
We know the hours on Saturday and Sunday are 2 hours more than the weekday hours.
So,
y = x + 2
Substituting that back into the original equation,
4x + 2(x+2) = 76
4x + 2x + 4 = 76
6x = 72
x = 12
y = 14
So Sam’s Soups is open 14 hours on Sunday.