# SOLUTION: If 7 lb. of tea and 5 lb. of coffee cost \$55.00, and 6 lb. of tea and 3 lb. of coffee cost \$42.00, what is the price per pound of each?

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If 7 lb. of tea and 5 lb. of coffee cost \$55.00, and 6 lb. of tea and 3 lb. of coffee cost \$42.00, what is the price per pound of each?      Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 254147: If 7 lb. of tea and 5 lb. of coffee cost \$55.00, and 6 lb. of tea and 3 lb. of coffee cost \$42.00, what is the price per pound of each?Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!If 7 lb. of tea and 5 lb. of coffee cost \$55.00, and 6 lb. of tea and 3 lb. of coffee cost \$42.00, what is the price per pound of each? --- Value Eq::: 7t + 5c = 55 Value Eq::: 6t + 3c = 42 ------ Multiply thru 1st eq. by 3 and 2nd eq by 5: 21t + 15c = 3*55 30t + 15c = 5*42 ----------------------- Subtract 1st from 2nd and solve for "t": 9t = 5*42-3*55 3t = 5*14- 55 t = \$5 (price of tea per pound) --- Substitute into 6t+3c = 42 to solve for "c": 6*5 + 3c = 42 3c = 12 c = \$4 (price of coffee per pound) ====================================== Cheers, Stan H.