A merchant blends tea that sells for $3.00 per pound with tea that sells for $2.75 per pound to produce 80 pounds of a mixture of tea that sells for $2.90 per pound. a. Set up a system of linear equations to determine how many pounds of each type of tea were used to make the blend. Let x be the number of pounds of $3.00 per pound tea and y be the number of pounds of $2.75 per pound tea. Make sure you justify your answer by showing all the steps. b. Solve the system of linear equations you found in part (a) using algebraic elimination. Make sure you give exact solution. If you solve the system using other method, you will get 0.
A merchant blends tea that sells for $3.00 per pound with tea that sells for $2.75 per pound to produce 80 pounds of a mixture of tea that sells for $2.90 per pound. a. Set up a system of linear equations to determine how many pounds of each type of tea were used to make the blend. Let x be the number of pounds of $3.00 per pound tea and y be the number of pounds of $2.75 per pound tea. Make sure you justify your answer by showing all the steps. b. Solve the system of linear equations you found in part (a) using algebraic elimination. Make sure you give exact solution. If you solve the system using other method, you will get 0.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 3CE
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A merchant blends tea that sells for $3.00 per pound with tea that sells for $2.75 per pound to
produce 80 pounds of a mixture of tea that sells for $2.90 per pound.
a. Set up a system of linear equations to determine how many pounds of each type of tea
were used to make the blend. Let x be the number of pounds of $3.00 per pound tea and y be the
number of pounds of $2.75 per pound tea. Make sure you justify your answer by showing all the
steps.
b. Solve the system of linear equations you found in part (a) using algebraic elimination.
Make sure you give exact solution. If you solve the system using other method, you will get 0.
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