Question 341538: A coffee shop owner mixes two types of coffees to make a specialty blend. Alone, the coffees sell for $7.50 and $10.00 per pound. How many pounds of each type of coffee should be used to make 15 pounds of a mixture that sells for $8.95 per pound? Copy and complete the table below. (i am trying my best to copy the table...what is the difference between the cost per pound and the cost in dollars?)
AMOUNT, COST PER POUND, COST DOLLARS are on the top (labels)
COFFEE 1, COFFEE 2, MIXTURE are on the side (labels)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A coffee shop owner mixes two types of coffees to make a specialty blend. Alone, the coffees sell for $7.50 and $10.00 per pound. How many pounds of each type of coffee should be used to make 15 pounds of a mixture that sells for $8.95 per pound?
Quantity Eq::: x + y = 15 lbs.
Value Eq:::::7.5x+10y= 8.95*15
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Multiply the Quantity eq. by 75:: 75x + 75y = 75*15
Multiply the Value eq. by 10::::: 75x + 100y= 89.5*15
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Subtract the 1st eq. from the 2nd and solve for "y":
25y = 14.5*15
y = 8.7 lbs (amt. of $10 coffee needed in the mixture)
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x = 15-8.7 = 6.3 lbs (amt. of $7.50 coffee needed in the mixture)
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Copy and complete the table below. (i am trying my best to copy the table...what is the difference between the cost per pound and the cost in dollars?)
::::::::::::AMOUNT, COST PER POUND, COST DOLLARS are on the top (labels)
COFFEE 1::::..x.........7.5...............7.5x
COFFEE 2::::..y..........10...............10x
MIXTURE:::::x+y..........8.95.............8.9*15
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Cheers,
Stan H.
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