"Sophie has a small clothing company. They buy 20 Jackets which cost 350 and 650 crowns each. Together they are 9400 crowns. Answer with a g

Notice that geno's second equation can be written as...

35x + 65y = 940      and.....using the first equation, we have....   y = 20 - x ........so.....substituting for y in the second, we have

35x + 65(20-x) = 940

35x + 1300 - 65x = 940    simplify

-30x = -360       divide both sides by -30

x = 12   this si the number of 350 crown jackets

So ....12 + y = 20  →   y = 8 = the  number of 650 crown jackets

This is translated directly from Swedish and I do not know if you call it graphical solution in English but you write it with curly brackets and it would look something like:

{ y + x = 4

  y - x = -2

There are two equations, one for the number of jackets and one for the value of the jackets.

Let  x  represent the number of jackets that cost 350 crowns each and

let  y  represent the number of jackets that cost 650 crowns each.

Number of jackets:               x + y  = 20                   --->     y  =  -x + 20

Value of the jackets:  350x + 650y  =  9400              --->     y  =  -(350/650)x + 9400/650

Graph these on the same graph; the point where they intersect will tell you how many of each were bought.