Lilla read 1/5 of her book last week. this week she read 3 times as much as she read last week. a. write an expression to show how much of her book lilla has left to read. then simplify the expression. b. there are 75 pages in lilla's book. how many pages does she have left to read? show your work. solution:

she has 30 pages left to read.

Step-by-step explanation:

Let x represent the total number of pages in the book which Lilla is reading.

Lilla read 1/5 of her book last week. This means that the number of pages that she read last week is

1/5 × x = x/5

This week she read 3 times as much as she read last week. This means that the number of pages that she read this week is

3 × x/5 = 3x/5

The number of pages that she has left to read would be

x - 3x/5

= (5x - 3x)/5 = 2x/5

b. There are 75 pages in Lilla's book. It means that the number of pages that she has left to read would be

(2 × 75)/5 = 150/5

= 30

ian gonna lie that is way to much

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 ☺