Math
posted by Brandi .
I need help on how to work the problem below. The teacher said the answer is 11, but I don't understand how you get there.
"The Big Screamer Coaster carries 92 people altogether. Some if its cars carry 4 passengers,and the rest carry 6 passengers. There are 3 less 6 passenger cars than 4 passenger cars. How many 4 passenger cars are there?"
Thanks...

number of 4 passenger cars  x
number of 6 passenger cars  y
assuming the coaster is filled to capacity ...
4x + 6y = 92 or 2x + 3y = 46
but y = x  3
sub into first equation ....
2x + 3y = 46
2x + 3(x3) = 46
2x + 3x  9 = 46
5x = 55
x = 11
if x = 11, then y = x3 = 8
there are 11 four passenger cars and 8 six passenger cars
check:
4(11) + 6(8) = 92
and 8 is 3 less than 11
Respond to this Question
Similar Questions

word problem!!!!!!!
three people decide to share the cost of a yacht. by bringing in an additional partner, they can reduce the cost for each by $4000. what is the total cost of the yacht? 
Science
i am doing a roller coaster project, and the coaster i picked was the Medusa in Marine World Six Flags. Now, I need help with the reqirements. We have to have at least 10 forces, and I have 9. I'm not too sure of what some of the forces … 
Physics
we are doing a really dumb websearch in my Physics class on roller coasters and I really need help with like 5 problems! For the websearch I need to cite it so if you could provide any answers I also need the website! thanks in advance!!! … 
Math Still Don't Understand!
I do not understand how to work this problem out. I have a series of other questions that are similar, and it would really help me out if someone could help me understand how to work this problem. At the first tricity meeting, there … 
algebra
The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are three less 6passenger cars than 4passenger cars. How many 4passenger cars are there? 
Algebra
The Big Screamer Coaster carries 92 people altogether. Some of its cars carry 4 passengers, and the rest carry 6 passengers. There are three less 6passenger cars than 4passenger cars. How many 4passenger cars are there? 
6th grade math
If Jack takes 6 hours to wash 4 cars then at that rate how man cars could be washed in 42 hours? 
algebra 1
The rocket coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is a room for 72 people altogether. How many 4 passenger cars are there? 
maths
a big airline carries 6432 people per day if it carries the same number of people every day , how many people did it carry in January. 6432 *30=192960 
math
150 children have to go on a school tour. They can use minibuses, which carry x pupils each, or cars which carry y pupils each. The mathematics teacher works out that they could just manage with 10 minibuses and 6 cars, or with 5 minibuses …