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18 January, 17:32

Matt sold 12 cherry and 14 strawberry cheesecakes for a total of $214. Joe sold 6 cherry and 11 strawberry cheesecakes for a total of $151. What is the price of one cherry cheesecake and one strawberry cheesecake?

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  1. 18 January, 18:20
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    Let c=cost of cherry and s=cost of strawberry cheesecakes.

    12c+14s=214

    6c+11s=151.

    So 12c+22s=302 subtract 12c+14s=214:

    8s=88, so s=$11 and 6c=151-11s=151-121=$30.

    The cost of one cherry cheesecake is $30 and of one strawberry is $11.

    The cost of the sum of both is $41.
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