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Sub 505 (Easy)|   Fractions and Ratios|                     
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nsp007
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thanks for the explanation !

This was a simple one... but i messed it up and got the answer as "1 to 4" :(
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is there a section for avoiding stupid mistakes ...i wrote down 1:1 ....completely forgot that it was thrice ..:(
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nsp007
In a certain population, there are 3 times as many people aged twenty-one or under as there are people over twenty-one. The ratio of those twenty-one or under to the total population is

(A) 1 to 2
(B) 1 to 3
(C) 1 to 4
(D) 2 to 3
(E) 3 to 4

A quick approach is to choose some numbers that meet the given conditions.

So, let's say that there is 1 person over twenty-one.

If there are 3 times as many people aged twenty-one or under as there are people over twenty-one, then there must be 3 people aged twenty-one or under.

This means the TOTAL population = 1 + 3 = 4

The ratio of those twenty-one or under to the total population = 3 to 4

Answer: E

Cheers,
Brent
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nsp007
In a certain population, there are 3 times as many people aged twenty-one or under as there are people over twenty-one. The ratio of those twenty-one or under to the total population is

(A) 1 to 2
(B) 1 to 3
(C) 1 to 4
(D) 2 to 3
(E) 3 to 4

Solution:

We can let x = the number of people who are over 21 years old. Thus, the number of people who are 21 or under is 3x, and the total population is 4x. Therefore, the ratio of those twenty-one or under to the total population is:

3x : 4x = 3 : 4

Answer: E
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