Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table. No car or one car Two or more carsHomeowner 20 90Not a homeowner 50 90(a) What percentage of the families are not homeowners?(b) What percentage of the families have two or more cars?(a) %(b) %
Question
Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table. No car or one car Two or more carsHomeowner 20 90Not a homeowner 50 90(a) What percentage of the families are not homeowners?(b) What percentage of the families have two or more cars?(a) %(b) %
Solution
To answer these questions, we first need to find the total number of families. We do this by adding all the numbers in the table together.
20 (homeowners with no car or one car) + 90 (homeowners with two or more cars) + 50 (non-homeowners with no car or one car) + 90 (non-homeowners with two or more cars) = 250 families in total.
(a) To find the percentage of families that are not homeowners, we add the number of non-homeowner families together and divide by the total number of families, then multiply by 100 to get the percentage.
So, 50 (non-homeowners with no car or one car) + 90 (non-homeowners with two or more cars) = 140 non-homeowner families.
Then, (140 non-homeowner families / 250 total families) * 100 = 56%.
So, 56% of the families are not homeowners.
(b) To find the percentage of families that have two or more cars, we add the number of families with two or more cars together and divide by the total number of families, then multiply by 100 to get the percentage.
So, 90 (homeowners with two or more cars) + 90 (non-homeowners with two or more cars) = 180 families with two or more cars.
Then, (180 families with two or more cars / 250 total families) * 100 = 72%.
So, 72% of the families have two or more cars.
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