Tried solving it but pretty sure i'm doing something wrong help plz

RainbowPanda Sep 3, 2018

#1**+1 **

This is a classic example of system of equations.

If x represented the number of people in a bus,

and y the number of people in a van, we can write the equations:

6y + x = 146 --- (1)

12y + 8x = 592 --- (2)

1) Substitution

In (1), we can subtract 6y from both sides.

x = 146 - 6y, which we can substitute into (2).

12y + 8(146 - 6y) = 592. Then after solving for y, we can plug into (1) to solve for x.

GYanggg Sep 3, 2018

#2**+1 **

I understand, somewhat. I knew how to do that part but not what comes after..

8*146 and 8*6

12V+1168-48V=592

(I'm using V and B i hope that's okay!)

Then what do I do next with the 12V and 48V?

RainbowPanda
Sep 3, 2018

#4**+1 **

Let x be the number of people in each van and y be the number of people in each bus....and we have that

6x + 1y = 146 rearrange as 1y = 146 - 6x ⇒ y = 146 - 6x (1)

12x + 8y = 592 (2)

Put (1) into (2) for "y" and we have

12x + 8(146 - 6x) = 592 simplify

12x + 1168 - 48x = 592

-36x + 1168 = 592 subtract 1168 from both sides

-36x = -576 divide both sides by -36

x = 16 ⇒ number of students in each van

Amd using (1)...the number of students in each bus is 146 - 6(16) = 146 - 96 = 50

You are correct, RP!!!

CPhill Sep 4, 2018