At a baseball game, Henry bought 5 hot dogs and 3 bags of chips for $14.82. Scott bought 7 hot dogs and 6 bags of chips for $22.89. What is the cost of one hot dog and one bag of chips?

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Answer 1 · 2018-06-14T20:22:06

#2.25# per hot dog

#1.19# per bag o' chips

#((5x + 3y = 14.82), (7x + 6y = 22.89))#

#((-10x - 6y = -29.64), (7x + 6y = 22.89))#

#-3x = -6.75#

#x = 2.25#

#5*2.25 + 3y = 14.82#

#3y = 14.82 - 11.25#

#y = 3.57/3 = 1.19#