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Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny $4.40 per pound, and type B coffee costs $5.65 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $972 . How many pounds of type A coffee were used?

 Mar 17, 2020
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Jenny's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jenny $4.40 per pound, and type B coffee costs $5.65 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $972 . How many pounds of type A coffee were used?     

 

                              B  =  4A     

   (4.40) A + (5.65) B  =  972.00     

 

   (4.40) A + (5.65) (4A)  =  972.00     

 

   4.40 A + 22.24 A  =  972.00     

                 26.64 A  =  972.00     

                           A  =    36.486  ≈  36.5 lb    

.     

 Feb 20, 2026

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