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Vesna [10]
3 years 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:
blondinia [14]3 years ago
3 0

Answer:

Number of bottles = 6

Number of cans = c

Step-by-step explanation:

Given that:

Container for selling water :

17 oz bottle

11 oz can

Let number of bottles = b

Number of cans = c

b + c = 11 - - - (1)

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

b = 11 - c

Substitute 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

Hence,

Number of bottles = 6

Number of cans = c

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Start by stating the given info as mathematical expressions:

1. "<span>The width of a rectangle is 6 cm less than its length." 
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2. "I</span><span>ts perimeter is 80 cm."
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Using the formula for perimeter (P=2l+2w) we can show:
80=2l+2w.

We now have 2 equations in 2 unknowns and can solve by substitution:
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Having the length w can then find the width:
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And finally the area:
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A=(23)(17)
A=391

The area is 391cm^{2}. 

As a check we can use the known perimeter:
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Step-by-step explanation:

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N =64
faust18 [17]

Answer:

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Step-by-step explanation:

Given:

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