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21 April, 19:54

Beth sold 1 pecan cheesecake and 4 strawberry cheesecakes for a total of $87. James sold 8 pecan cheesecakes and 12 strawberry cheesecakes for a total of $296 find the cost of each of one pecan cheesecake and one strawberry cheesecake.

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  1. 21 April, 20:16
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    One pecan cheese cake costs $8, One Strawberry cheesecake costs $19.75

    Step-by-step explanation:

    8p + 12s = 296

    1p + 4s = 87

    1p + 4s = 87 is multiplied until one of the pieces equals 8 or 12

    1 x 8 = 8 4 x 8 = 32 87 x 8 = 696

    now we subtract

    8p + 32s = 696

    - 8p + 12s = 296

    20s = 400

    s = 20

    Now we plug it into one of the original equations

    8p + 12 (20) = 296

    8p + 240 = 296

    296 - 240 = 56

    8p = 56

    56 / 8 = 7

    p = 7

    I understand that the first part doesn't make any since, but when you put them both into the equation the exact answer is $19.75
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