Problema Solution

A jasmine tes sells for 7.00 per pound, and a chamomile tea sells for 5.50 per pound. How many pounds of each tea are needed to create 10 pounds of a mixture that sells for 6.40 per pound?

Answer provided by our tutors

let


j = lbs of the jasmine tea

c = lbs of the chamomile tea


we need to make 10 lbs mixture:


j + c = 10


that sells for 6.40 per pound:


7.00j + 5.50c = 6.40*10


7j + 5.5c = 64


by solving the system of equations:


j + c = 10

7j + 5.5c = 64


we find


j = 6


c = 4


click here to see the solution of the system of equations

https://quickmath.com/webMathematica3/quickmath/equations/solve/advanced.jsp#c=solve_advancedsolveequations&v1=j+%2B+c+%3D+10%0A7j+%2B+5.5c+%3D+64&v2=j%0Ac


6 pounds of jasmine tea and 4 pound of chamomile tea are needed for the mixture.