Respuesta :
Answer:
Step-by-step explanation:
x = City Roast Colombian coffee
y = French Roast Colombian coffee
x + y = 20
Answer: They should buy 12 pounds of City Roast and 8 pounds of French Roast.
Step-by-step explanation:
Let x be the weight of City Roast colombian coffee.
Let y be the weight of French Roast Colombian coffee.
Weight of blend = 20 pounds
So, our equation becomes
[tex]x+y=20--------------(1)[/tex]
Cost of per pound of City Roast = $7.80
Cost of per pound of French Roast = $8.10
Cost of blend = $7.92
So, our equation becomes,
[tex]7.80x+8.10x=7.92\times 20\\\\7.8x+8.1y=158.4--------(2)[/tex]
From Eq(1), we get that
[tex]x=20-y[/tex]
Put this in Eq(2), we get that
[tex]7.8(20-y)+8.10y=158.4\\\\156-7.8y+8.10y=158.4\\\\0.3y=158.4-156\\\\0.3y=2.4\\\\y=\dfrac{2.4}{0.3}\\\\y=8[/tex]
[tex]x=20-y\\\\x=20-8\\\\x=12[/tex]
Hence, they should buy 12 pounds of City Roast and 8 pounds of French Roast.