Answered: merchant blends tea that sells for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.3: Elimination Using Addition And Subtraction

Problem 31PPS

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merchant blends tea that sells for $3.50 per pound with tea that sells for $2.7 per pound to produce 120 pounds of a mixture of tea that sells for $2.94 per pound. a. (6 pts) 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 $3.50 per pound tea and y be the number of pounds of $2.7 per pound tea. Make sure you justify your answer by showing all the steps. b. (9 pts) 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. Make sure you justify your answer by showing all the steps.

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