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Katyanochek1 [597]
2 years ago
11

Matt sold 12 cherry and 14 strawberry cheesecakes for a total of $214. Joe sold 6 cherry and 11 strawberry cheesecakes for a tot

al of $151. What is the price of one cherry cheesecake and one strawberry cheesecake?
Mathematics
1 answer:
Tanzania [10]2 years ago
6 0
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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