The ratio of two quantities is 2 to 5. If each of the quantities is increased by 7, what is the ratio of these two new quantities? Options: A) 2/5 B) 5/8 C) 7/13 D) 22/25 E) It cannot be determined from the information given.
Correct Answer: E   Let x and y be the two quantities such that x/y = 2/5. There is no algebraic operation that can be used to increase x and y each by 3 and determine what happens to the ratio 2/5.   For example, if x = 2 and y = 5, then (x+7)/(y+7) = (2+7)/(5+7) = 9/12 =3/4. However, if x = 4 and y = 10 (which would still set x/y = 2/5), then (x+3)/(y+3) = (4+7)/(10+7) = 11/17. The ratio of the two new quantities cannot be uniquely determined from the information given, and the correct answer is (It cannot be determined from the information given.).
<result>E</result>
The ratio of two quantities is 2 to 5. If each of the quantities is increased by 7, what is the ratio of these two new quantities?