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The table below shows the ratio of manufacturing of Car A to the manufacturing of Car B by the same company from 2012-2016. The Line graph shows the manufacturing (in thousands) of Car A, from 2012-2016. What is the ratio of number of Car B manufactured in 2012 to the number of Car A manufactured in 2014? Year Production Ratio of A to B 2012 17 : 16 2013 8 :7 2014 9 : 10 2015 18 : 19 2016 7 : 6  

The table below shows the ratio of manufacturing of Car A to the manufacturing of Car B by the same company from 2012-2016. The Line graph shows the manufacturing (in thousands) of Car A, from 2012-2016. What is the ratio of number of Car B manufactured in 2012 to the number of Car A manufactured in 2014? Year Production Ratio of A to B 2012 17 : 16 2013 8 :7 2014 9 : 10 2015 18 : 19 2016 7 : 6   Correct Answer 80 : 63

Calculation:

The ratio of number of car A and car B in 2012 = 17 : 16

The production of car A in 2012 = 850

Let the ratio of number of car A and car B be 17x and 16x respectively

⇒ 17x = 850

⇒ x = 50

The production of car B = 16x = 16 × 50 = 800

The number of car A manufactured in 2014 = 630

Required ratio = (800 : 630)

⇒ 80 : 63

∴  The ratio of number of Car B manufactured in 2012 to the number of Car A manufactured in 2014 is 80 : 63

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