SOLUTION: the cashier at the fast food outlet rings up a bill of $24.60 for an order of 6 milkshakes and 8 burgers. the next order is for 3 milkshakes and 5 burgers and the bill is $14.25. d

Algebra ->  Human-and-algebraic-language -> SOLUTION: the cashier at the fast food outlet rings up a bill of $24.60 for an order of 6 milkshakes and 8 burgers. the next order is for 3 milkshakes and 5 burgers and the bill is $14.25. d      Log On


   

Question 607444: the cashier at the fast food outlet rings up a bill of $24.60 for an order of 6 milkshakes and 8 burgers. the next order is for 3 milkshakes and 5 burgers and the bill is $14.25. determine the cost of each itmem.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Let x and y represent the cost of the milkshakes and burger respectively:

Question states***

6x + 8y = 24.60

3x + 5y = 14.25



 6x + 8y = 24.60

-6x - 10y = -28.50  ||Multiplying thru by -2 to eliminate x

     -2y = -3.90

       y = $1.95, cost of the burger

 6x + 8·1.95 = 24.60

     6x = 9

      x = 9/6 = 3/2 = $1.50

CHECKING our Answer***

 3·1.50 + 5·1.95 = $14.25