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3 October, 16:36

I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package

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  1. 3 October, 19:41
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    Step-by-step explanation:

    Let the price for children and adults package be represented with x and y respectively.

    For the first week the sum of the package will be as follows:

    3x+8y = 126

    For the two weeks after:

    6x+4y = 108

    So, we will be having two equations

    3x+8y = 126 ... (1)

    6x+4y = 108 ... (2)

    These are simultaneous equations

    From equation 1

    3x+8y = 126

    3x = 126-8y

    X = 126-8y/3 ... (3)

    Put equation 3 into 2

    6 (126-8y) / 3 + 4y = 108

    756-48y/3 + 4y = 108

    756-48y+12y/3 = 108

    Cross multiplying

    756-48y+12y = 108*3

    756-48y + 12y = 324

    Collecting like terms

    756-324 = 48y-12y

    432 = 36y

    Divide both sides by 36

    432/36 = 36y/36

    y = 12

    Substituting y into equation 1

    3x+8 = 126

    3x+96=126

    3x = 126-96

    3x = 30

    Divide both sides by 3

    3x/3 = 30/3

    x = 10

    Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
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