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Ashley's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ashley $4.65 per pound, and type B coffee costs $5.95 per
pound. This month, Ashley made 120 pounds of the blend, for a total cost of $623.00. How many pounds of type B coffee did she use?

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Answer:

39 lbs

Step-by-step explanation:

Let x = the number of lbs 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 lbs of coffee =  x + 3x

The total cost then is:

($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60

$5.65x + $4.25(3x) = $717.60

$5.65x + $12.75x = $717.60

$18.40x = $717.60

x = 39 lbs

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