anonymous
  • anonymous
During a 4th of July weekend, 32 vehicles became trapped on the Sunshine Skyway Bridge while it was being repaved. A recent city ordinance decreed that only cars with 4 wheels and trucks with six wheels could be on the bridge at any given time. If there were 148 tires that needed to be replaced to due to damage, how many cars and trucks were involved in the incident?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
sandra
  • sandra
Basically you have two unknowns, so you need two equations in order to answer.
sandra
  • sandra
So let T be the number of trucks (with 6 wheels), and C be the number of cars (with 4 wheels)
sandra
  • sandra
C + T = 32

Looking for something else?

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

More answers

sandra
  • sandra
(total number of vehicles is 32)
sandra
  • sandra
AND 6T + 4C = 148 (the total number of tires ruined is 148, 6 per truck and 4 per car)
sandra
  • sandra
now you can solve using those two equations: 1. 4(C + T) = 4*32 2. 4C + 4T = 128 3. Now pull back the second equation - 6T + 4C = 148, notice that since you have 4C in step (2), you can just subtract to get (T) alone. 4. 6T + 4C = 148 - 4T + 4C = 132 --------------- 2T = 16 T = 8
sandra
  • sandra
That would mean there are 32 - 8 cars, which is 24 cars.
sandra
  • sandra
ooops, sorry , 4*32 = 128, copied it over wrong in step (4)
sandra
  • sandra
4. 6T + 4C = 148 - 4T + 4C = 128 --------------- 2T = 20 T = 10
sandra
  • sandra
there we go, got kicked out, and there are 32 - 10 cars
sandra
  • sandra
then check your answer - so 10 + 22 = 32 vehicles total (yay), and then 10*6 + 22*4 = 148 (148 tires total). So it works!

Looking for something else?

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