• anonymous
A car dealership interviewed every driver who came onto their lot on Tuesday. This produced the following results: there were 68 people who owned trucks and 121 people who owned cars. If 35 people owned both a truck and a car and 15 people owned neither, how many people were interviewed?
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • chestercat
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
n(truck)=68,n(car)=121,n(car&truck)=35,n(nothing)=15 n(total)=n(truck)+n(car)-n(car&truck)+n(nothing) n(total)=169
  • mathteacher1729
Drawing a diagram might help. :) (see attached). It should be easy to see that 15 people are outside the circles. (they own neither). Cars + Trucks = 121 + 68 (big circle + small circle) BUT BUUUUUUT... we must SUBTRACT 35 from that total, cuz we are "counting them twice" (that's where the circles overlap). You should now be very near the solution. Hope this helps!
1 Attachment

Looking for something else?

Not the answer you are looking for? Search for more explanations.