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At Commericalstick baseball stadium, the Deluxe hamburger costs $9, while the Deluxe hotdog costs $6.50. Amanda purchased some Deluxe Hotdogs and Deluxe hamburgers for her friends. If Amanda spends $75, how many Deluxe Hotdogs and Deluze Hamburgers did she purchase altogether?

 Mar 28, 2019

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\(9h + 6.5d = 75\\ 18h+13d=150\\ \text{Using the Euclidean algorithm we obtain}\\ 7(13)-5(18)=1\\ 1050(13) - 750(18) = 150\\ \text{and finally}\\ 6(13)+4(18) = 150\\ 6(6.50)+4(9)=75\\ \text{6 hot dogs and 4 hamburgers}\)

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 Mar 28, 2019

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