Question
Asked Sep 13, 2019
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A coffee merchant combines coffee that costs $5 per pound with coffee that costs $2.80 per pound. How many pounds of each should be used to make 25 lb of a blend costing $4.34 per pound?

$5 per lb coffee     lb
$2.80 per lb coffee     lb
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Expert Answer

Step 1

Now,

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Let x be pounds of $5 coffee and y be pounds of $2.80 coffee which equals the total pounds of coffee: (i) xy 25 The total cost of blended coffee is calculated by adding the total cost of the two different coffees together 5x 2.8y 4.34(25) (ii)

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Step 2

From equation (i...

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х%3 25 - у (iii Now, putting the equation (iii) in equation (i), we get 5(25 y)2.8y= 4.34(25) 125 5y 2.8y = 108.5 — 2.2у — 108.5 — 125 -2.2y 16.5 y = 7.5 x = 25 7.5 = 17.5

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Math

Algebra

Equations and In-equations