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) 100 Wacky News

  (b) 40 Daily News

Step-by-step explanation:

Multiplying the first ratio numbers by 4, we get ...

  daily : wacky = 8 : 20

and multiplying the second ratio numbers by 5, we get ...

  wacky : truthful = 20 : 5

Then we can combine these ratios to ...

  daily : wacky : truthful = 8 : 20 : 5

Multiplying this set of ratio numbers by 5 again, we get ...

  daily : wacky : truthful = 40 : 100 : 25

This makes the Truthful News ratio value match the actual number in part (a).

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(a) If 25 Truthful News papers were sold on Friday, then 100 Wacky News papers were sold.

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(b) The same day, 40 Daily News papers were sold.

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