Posted by **Brandi** on Monday, October 7, 2013 at 5:27pm.

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...

- Math -
**Reiny**, Monday, October 7, 2013 at 6:41pm
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(x-3) = 46

2x + 3x - 9 = 46

5x = 55

x = 11

if x = 11, then y = x-3 = 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

## Answer This Question

## Related Questions

- Algebra - The Big Screamer Coaster carries 92 people altogether. Some of its ...
- algebra - The Big Screamer Coaster carries 92 people altogether. Some of its ...
- word problem!!!!!!! - three people decide to share the cost of a yacht. by ...
- Physics - we are doing a really dumb websearch in my Physics class on roller ...
- Science - i am doing a roller coaster project, and the coaster i picked was the ...
- Math- Still Don't Understand! - I do not understand how to work this problem out...
- General Chemistry - I have two questions about this problem, I understand how it...
- algebra 1 - The rocket coaster has 15 cars, some that hold 4 people and some ...
- English - 1. Some people said yes and others said no, and the others said ...
- 7th Grade Math - Use familiar figures to to find the area of the figure shown. ...

More Related Questions