Question

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? ______________________________________________________________________ ______________________________________________________________________

Answer 1

(a) 100 Wacky News

(b) 40 Daily News

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.