The manager of a newsagency conducted a survey to find out the most popular newspaper. he found that the sales ratio of the ‘daily news’ paper to ‘wacky news’ paper was 2 : 5 and the ratio of ‘wacky news’ to ‘truthful news’ sold was 4: 1.
(a) if 25 ‘truthful news’ papers were sold on friday, how many of ‘wacky news’ were sold?
(b) using your answer to (a) find how many ‘daily news’ papers were sold on the same day?

a) The  number of ‘Wacky News’  sold on Friday = 100

b) The number of Daily News sold on Friday = 40

Step-by-step explanation:

The ratio of         Daily News  :  Wacky News = 2   :    5

and the ratio of Wacky News : Truthful News  = 4   :  1

a) The number of 'Truthful News' papers sold on Friday  = 25

W  / T  = 4 / 1  ⇒ W = 4 T

Comparing both ratio of W, we get

Also, T =  25

So, W =  4T  =  4 x 25  = 100

Hence, the ‘Wacky News’  sold on Friday = 100

b) Now,  D / W  = 2 / 5  

and W  = 100

⇒

or, Now,

or, 'Daily News' sold on Friday = 40

Hence, the number of Daily News sold on Friday = 40

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 ☺

plz mark brainliest i took the test