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In a certain city, the ratio of the number of people who [#permalink]
04 Jan 2008, 03:24

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In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.

this is a set problem

total= x + y - subset xy +N (people who neither buy X nor Y).

we can sustitute x=7y. 1 tells us xy and 2 tells us N. so we can have the total in terms of y and thus we can find the direct relationship b/w y and the total.

In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.

this is a set problem

total= x + y - subset xy +N (people who neither buy X nor Y).

we can sustitute x=7y. 1 tells us xy and 2 tells us N. so we can have the total in terms of y and thus we can find the direct relationship b/w y and the total.

OA is C?

can you explain why statement I is not enough? if we know that 73% of people read papers, that means one eights of 73% read y. am I wrong?

In a certain city, the ratio of the number of people who purchase newspaper X to the number of people who purchase newspaper Y is 7:1. What percent of the population purchases newspaper Y?

1) 27% of the population purchases neither newspaper X nor newspaper Y.

2) 70% of the people who purchase newspaper Y also purchase newspaper X.

Please explain your work.

this is a set problem

total= x + y - subset xy +N (people who neither buy X nor Y).

we can sustitute x=7y. 1 tells us xy and 2 tells us N. so we can have the total in terms of y and thus we can find the direct relationship b/w y and the total.

OA is C?

can you explain why statement I is not enough? if we know that 73% of people read papers, that means one eights of 73% read y. am I wrong?

You're assuming that people either A) purchase ONLY X or B) purchase ONLY Y. Some people may purchase both (in this case, 70% of people who purchase Y do) and will thus be counted twice. We need to know how many purchase both and how many purchase neither to get our answer

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