math (plz help)
posted by Stacy on .
Ms. Sue has not answered this question where all work must be shown. Plz, Ms. Sue do not answer this one again. Let someone else help me...plz.
In a movie theater, Theater A has 30 seats in the first row. Each row has 4 more seats in it than the previous row has.
1) How many seats are in the 4th row?
2) Is there a row with exactly 60 seats in it?
3) Theater B has 40 seats in the first row and each row has 4 more seats than the previous row. If both Theater A and Theater B has 25 row, how many more seats does Theater B have in it than Theater A?
All work must be shown in order to get credit...thanks.

We will be happy to critique your work.

1)
Numbers of seats in rows in Theater A:
RA=FA+(n1)*4
FA=Numbers of seats in first row=30
nnumber of row
RA=30+(n1)*4
first row has 30 seats
second row has:
30+(21)*4=30+1*4=30+4=34 seats
third row has:
30+(31)*4= 30+2*4=30+8=38 seats
fourth row has:
30+(41)*4=30+3*4=30+12=42 seats
2)
Numbers of seats in rows in Theater A:
RA=FA+(n1)*4
FA=Numbers of seats in first row=30
nnumber of row
RA=30+(n1)*4
first row has 30 seats
second row has:
30+(21)*4=30+1*4=30+4=34 seats
third row has:
30+(31)*4= 30+2*4=30+8=38 seats
fourth row has:
30+(41)*4=30+3*4=30+12=42 seats
fifth row has:
30+(51)*4=30+4*4=30+16=46 seats
sixth row has:
30+(61)*4=30+5*4=30+20=50 seats
seventh row has:
30+(71)*4=30+6*4=30+24=54 seats
eighth row has:
30+(81)*4=30+7*4=30+28=58 seats
ninth row has:
30+(91)*4=30+8*4=30+32=62 seats
tenth row has:
30+(101)*4=30+9*4=30+36=66 seats
Is there a row with exactly 60 seats in it? NO
3)
In Teater B first row has 40 seats,and each row has 4 more seats in it than the previous row has.
In Teater B first row has 30 seats,and each row has 4 more seats in it than the previous row has.
4030=10
That means that each row in theatre B has 10 seats more then row in Theatre A.
If both Theaters has 25 rows.
Difference between numbers of seats in Theater A and Theater B is:
25*10=250 seats