Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris $5.45 per pound, and type B coffee costs $4.20 per pound. This month, Boris made 178 pounds of the blend, for a total cost of $870.10. How many pounds of type B coffee did he use?

Question

Mathematics

Ean Simpson

8 August, 11:49

Boris's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Boris $5.45 per pound, and type B coffee costs $4.20 per pound. This month, Boris made 178 pounds of the blend, for a total cost of $870.10. How many pounds of type B coffee did he use?

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Harrison Black · Answer 1

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 = $717.60x = 39 lbs