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PSYCHO15rus [73]
3 years ago
8

a goldsmith combined an alloy that costs $4.40 per ounce with an alloy that costs $1.90 per ounce. how many ounces of each were

used to make a mixture of 200 oz costing $2.60 per ounce?
Mathematics
2 answers:
Naddik [55]3 years ago
4 0

4.4x + 1.9(200-x) = 520

4.4x +  380 - 1.9x = 520

x = 56


56 ounces of the $4.40 per ounce alloy

200 - 56 = 144 ounces of the $1.90 per ounce alloy

kirill115 [55]3 years ago
3 0
$76.92 is what the answer is
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3 years ago
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Answer:

The cost of each pens is $1.19

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Step-by-step explanation:

Given as :

The number of pens bought by Gabby = 4

The number of pencils bought by Gabby = 5

The number of pens bought by Sydney = 5

The number of pencils bought by Sydney = 3

The total cost of Gabby items = $6.71

The total cost of Sydney items =$7.12

Let The cost of each pens = x

And The cost of each pencils = y

Now, According to question

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4 x + 5 y = $6.71           .............1

For Sydney

5 x + 3 y = $7.12           .............2

Now, Solving both equations

5 × (4 x + 5 y) - 4 × (5 x + 3 y) = 5 × 6.71 - 4 × 7.12

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Or, (20 x - 20 x) + (25 y - 12 y) = 5.07

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I.e y = $0.39

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or , 4 x = 4.76

∴  x = \frac{4.76}{4}

I.e x = $1.19

The cost of each pens = x = $1.19

Hence The cost of each pens is $1.19

And The cost of each pencils is $0.39   Answer

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