Linear algebra and seats in a van

yuuri14
Messages
26
Reaction score
0

Homework Statement




A Company use two vans from 7-9am. ONE van has 9 more seat than the other. The smaller van makes two trips, and the larger van make 1 trip?
The maximum seats of both vans that was given would be 69.
Let x be the seats of small van and y be the seat of the larger van.
How many seats does the LARGER VAN have?

Homework Equations


USE LINEAR


The Attempt at a Solution


Y=X+9
69=X+x+9
-9 -9
60=2X
2 2
X=30.....
THAT THE ANSWER BUT BACK TO THE QUESTION (How many seats does the LARGER VAN have? and the fact that the smaller van takes two trips) what's after that is it 30 x 2= 60 because x is the smaller van, two trips then subtract to total number of both 69-60=9
y=9
 
Physics news on Phys.org
Your equations are faulty. The small van makes TWO trips, while the big van only ONE. The THREE trips counted together can transport 69 people. Hope this makes it clearer.

Cheers
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top