Trey's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs trey $4.80 per pound, and type b coffee costs $5.85 per pound. this month's blend used three times as many pounds of type b coffee as type a, for a total cost of $603.45 . how many pounds of type a coffee were used?

Let x = the number of pounds of Type A coffee.

We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.

Total pounds of coffee =  x + 3x

The total cost is:

(cost for Type A)(x) + (cost for Type B)(3x) = $603.45

$4.80x + $5.85(3x) = $603.45

$4.80x + $17.55x = $603.45

$22.35x = $603.45

x = 603.45/22.35 = 27 pounds

its 50 miles away from the starting point

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