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timurjin
2 months ago
5

Tracy sells water at a fair in 17oz bottles or 11oz cans. If on one shelf she has 11 containers of water that hold a total of 15

7oz of water, how many bottles and cans of water are on the shelf?
Mathematics
1 answer:
lawyer [12.5K]2 months ago
3 0

Response:

Count of bottles = 6

Count of cans = c

Detailed reasoning:

Based on the following information:

Containers for selling water:

17 oz bottle

11 oz can

Let the number of bottles be denoted as b

Count of cans represented as c

b + c = 11 - - - (1)

17b + 11c = 157 - - - (2)

b = 11 - c

Insert into (2)

17(11 - c) + 11c = 157

187 - 17c + 11c = 157

187 - 6c = 157

-6c = 157 - 187

-6c = -30

c = 30/6

c = 5

From; b = 11 - c

b = 11 - 5

b = 6

Thus,

Count of bottles = 6

Count of cans = c

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