SOLUTION: Carmen's Café ordered coffee beans from two different distributors at different prices. Carmen wants to combine the two types of coffee beans to make a mixture that costs $2.28 p
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Question 86261: Carmen's Café ordered coffee beans from two different distributors at different prices. Carmen wants to combine the two types of coffee beans to make a mixture that costs $2.28 per pound. How many pounds of coffee beans that cost $2.60 per pound should be mixed with 4 pounds of coffee beans that cost $1.80 per pound to obtain the desired mixture?
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Let x pounds of coffee beans that cost $2.60 per pound be mixed with 4 pounds of coffee beans that cost $1.80 per pound.
Then we get (4+x) pounds of coffee that cost $2.28 per pound.
The equation is:
2.60x + 4*1.80 = (4+x)*2.28
==> 2.6x + 7.2 = 9.12 + 2.28x
==> 2.6x - 2.28x = 9.12 - 7.2
==> 0.32x = 1.92
==> x = 1.92/0.32
==> x = 6
So 6 pound of coffee beans that cost $2.60 per pound should be mixed with 4 pounds of coffee beans to get the desired mixture.
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