SOLUTION: i need help solving system of linear equations and inequalities the word problems. Here is the problem..... The manager of a gourmet coffee and tea store is mixing two green teas,

Question 717257: i need help solving system of linear equations and inequalities the word problems. Here is the problem..... The manager of a gourmet coffee and tea store is mixing two green teas, one worth $7 per pound and the other worth $9 per pound. He wants to obtain 32 pounds of tea worth 8.50 per pound. How much of each tea should he use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $7/lb tea needed
Let = pounds of $9/lb tea needed
= cost of $7/lb tea used
= cost of $9/lb tea used
--------------
(1)
(2)
--------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
8 pounds of $7/lb tea are needed
24 pounds of $9/lb tea are needed
check answer:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
i need help solving system of linear equations and inequalities the word problems ... ok... (answered by dabanfield)

What is the difference, if any, between solving a system of linear equations and solving... (answered by nabla)

I need help with my Final Math Exam for Mat/116. It is algebra 1A. The final exam focuses (answered by mananth)

I need help solving several problems...I wouldn't be on here if I wasn't truly desperate. (answered by jim_thompson5910)

I need help solving this word problem we are to use a system of linear equations to solve (answered by richwmiller)

Heya, im working on problem solving with systems of equations. i need help turning this... (answered by mukhopadhyay)

I need some help with these graph problems. I would appreciate some help with solving... (answered by jim_thompson5910)

I dont get how the whole solving system of equations by substitution and elimination... (answered by Earlsdon)

I need help with fractions and solving linear equations. The problem is Y+3/5x+2 (answered by stanbon)