Agrocer wishes to blend two different coffee brands because he wants to make a blend of 480 pounds to sell at $2.68 a pound. if he uses a brand of coffee worth $2.50 a pound with another brand worth $2.80 a pound, how many pounds of each does he use?

192 pounds of $2.5 brand

288 pounds of $2.8 brand

Step-by-step explanation:

From the information we can write an expression that relates the two brands the total pounds of coffee the grocer wants to see. Let x be pounds of the coffee brand 1 and y be pounds of the coffee brand 2.Equation 1:

We know that the price of will be equation 2:

Two equations and two unknowns we can solve for x and y:

Substitute into the second equation:

Therefore he uses 288 pounds of brand two at $2.80 and 480-288=192 pounds of brand 1 at $2.50

He uses of brand 1 at cost and he uses of brand 2 at cost

Further explanation:

Given:

The cost of first brand is

The cost of second brand is

Explanation:

The grocer uses a brand of coffee worth a pound with another brand worth a pound.

Let the amount of first brand coffee he blend is .

Let the amount of second brand coffee he blend is .

The total amount of coffee is 480 pounds.

The price of the blended coffee is

The equation from the price of the coffee can be obtained as follows,

Solve the equation to obtain the value of .

The value of can be obtained as follows,

He uses of brand 1 at cost and he uses of brand 2 at cost

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: coffee, grocer, wishes, blend, different, coffee brands, 480 pounds, sell, $2.68, brand worth, brewed, directions, pounds, coffee beans, yields, kilogram, kg, required, produced

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