Bunuel
Attachment:
2015-01-14_1315.png
The table in the figure below shows the amount of waste material in pounds thrown away by each of five different families in a single year and the amount of waste material in pounds recycled by each of the five families in that same year. According to the table, which family had the highest ratio of waste material recycled to waste material thrown away?
(A) Family A
(B) Family B
(C) Family C
(D) Family D
(E) Family E
Kudos for a correct solution.For family A we have : \(\frac{30}{100}\)
family B :\(\frac{22}{50}\)
family C :\(\frac{7}{20}\)
family D:\(\frac{30}{55}\)
family E:\(\frac{4}{10}\)
in order to simplify the above fractions, we will multiply each of them with 100. Thus the required ratio for each of them becomes,
family A: \((\frac{30}{100})100\) \(= 30\)
family B :\((\frac{22}{50})100\) \(= 44\)
family C :\((\frac{7}{20})100\) \(= 35\)
family D:\((\frac{30}{55})100\) \(= 54\)
family E:\((\frac{4}{10})100\) \(= 40\)
hence answer must be D.
Also, by carefully observing all the numerators, we will notice that only for family D numerator is more than 50% of the denominator. hence we can easily shun all the calculations that we have done in the previous steps and straightaway mark D as the answer.