# 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 ->  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

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 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(10682)   (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 ```