The school auditorium has 22 rows with 28 seats each .at a school concert ,19 seats were empty. how many seats were filled

597 seats are filled.

Step-by-step explanation:

Given the school auditorium has 22 rows with 28 seats each. At a school concert, 19 seats were empty.we have to find the number of seats which are filled.

As, there are 22 rows and each row has 28 seats

As 19 seats at the school concert are empty

∴ Total seats=Filled seats+empty seats

⇒ 616=filled seats+19

⇒ filled seats=597 seats.

Hence, no. of seats which are filled are 597 seats.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

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