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8 December, 09:59

A group of friends ordered 3 burgers and 3 medium fries for a total of $17.55. The price of a burger is. 75 more than two times the price of medium fries. What is the cost of one burger?

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  1. 8 December, 13:05
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    Cost price of the burger = $4.15

    Step-by-step explanation:

    Given dа ta:

    3 burgers were ordered

    3 medium fries were ordered

    Total order cost 17.55

    Let the price of the burger be X

    Let the price of the medium fries be Y

    Equation for the total sale will be 3X + 3Y = 17.55 (equation 1)

    from this statement 'The price of a burger is. 75 more than two times the price of medium fries.'

    X - 2Y = 0.75 (equation 2)

    There are now two equations and two unknowns, a simultaneous equation is solved to find the cost of the burger.

    Many methods can be used to solve these equations but in this case substitution will be used

    From equation 2

    X = 0.75 + 2Y (equation 3)

    Substituting equation 3 into equation 1

    3 (0.75 + 2Y) + 3Y = 17.55

    2.25 + 6Y + 3Y = 17.55

    6Y + 3Y = 17.55-2.25

    9Y = 15.3

    Y = 1.7

    Substituting Y into equation 3

    X = 0.75 + 2Y

    X = 0.75 + 2 (1.7)

    X = 0.75 + 3.4

    X = 4.15

    Therefore the cost price of the burger is $4.15
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