Acoffee merchant wants to make 6 pounds of a blend of coffee costing five dollars per pound. the blend is made using a six dollar per pound grade coffee and a three dollar per pound grade of coffee. how many pounds of each of these grades should be used?

We should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

Step-by-step explanation:

The blend should,

Cost = $5

Weigh = 6 pounds.

Lets take the weight of $6 coffee as pounds

And lets take the weight of $3 coffee as pounds.

Lets write an equation for the weight of the blend,

<---------- 1st equation.

=

= <---------- 2nd equation

We can substitute to x in 1st equation from 2nd equation,

⇒

=

=

=

We can substitute y value to 2nd equation to find x,

⇒

==

Therefore, we should use 4 pounds of $6 coffee and 2 pounds of $3 coffee for the blend.

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