Thursday

November 27, 2014

November 27, 2014

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

"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 6:41pmnumber 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**

General Chemistry - I have two questions about this problem, I understand how it...

Math-Reiny - I posted this problem earlier and you answered it for me. The ...

5th math - my teacher want me to show the work on this problem like < or >...

Math - There are 7 girls on a bus. Each girl is carrying 7 backpacks. In each ...

Algebra - The Big Screamer Coaster carries 92 people altogether. Some of its ...

algebra - The Big Screamer Coaster carries 92 people altogether. Some of its ...

Math(about to fail because of this question) - Can someone please help me with ...

Physics PLEASE - I'm trying to solve this problem Calculate (a) how long it took...

Math Probability - A math class has 20 students who choose a topic from a list ...

Physics - we are doing a really dumb websearch in my Physics class on roller ...