Brain Teasers
Pets and Players
Imelda's class of 36 has taken a survey of students. Among other survey results were the following statistics:
1. The ratio of those who play sports to the total surveyed is 7:12.
2. Among the sports players, the ratio of sports players who are pet owners to the total number of sports players is 3:7.
How many of the sports players are not pet owners?
1. The ratio of those who play sports to the total surveyed is 7:12.
2. Among the sports players, the ratio of sports players who are pet owners to the total number of sports players is 3:7.
How many of the sports players are not pet owners?
Hint
Make use of equivalent fractions.Answer
There are 12 sports players who are not pet owners.To find the number of sports players, write an equivalent fraction for with a denominator of 36: 7/12=21/36. So there are 21 sports players.
Now, to find how many of the 21 sports players are pet owners, write an equivalent fraction for with a denominator of 21: 3/7=9/21. So 9 sports players are pet owners, and 21 - 9 = 12 sports players who are not pet owners.
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