High School

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John's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs John $4.70 per pound, and type B coffee costs $5.90 per pound. This month, John made 181 pounds of the blend, for a total cost of $967.10 . How many pounds of type A coffee did he use?

Answer :

A +B = 181



A=181-B



4.70A+5.90B= 967.10



4.70(181-B) +5.90B =967.10



850.70-4.70B+5.90B=967.10



850.70+1.2B =967.10



1.2B=116.40



B =116.40/1.2 = 97



A=181-97 = 84 pounds of type A coffee




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