Problema Solution
The owner of a tea shop wants to mix three kinds of tea to make 100 ounces of a mixture that will sell for $.83 an ounce. He uses Orange Peoke, which sells for $.80 an ounce. Irish Breakfast, for $.85, and Earl Grey, for $.95 an ounce. If he wants to use twice as much Orange Peoke as Irish Breakfast, how much of each kind of tea should he use?
Answer provided by our tutors
let
o = oz of Orange Peoke tea
b = oz of Irish Breakfast tea
e = oz of Earl Grey tea
the owner of a tea shop wants to mix three kinds of tea to make 100 ounces of a mixture that will sell for $.83 an ounce
o + b + e = 100
0.80o + 0.85b + 0.95 = 0.83*100
he wants to use twice as much Orange Peoke as Irish Breakfast
o = 2b
by solving the system of equations
o + b + e = 100
0.80o + 0.85b + 0.95 = 0.83*100
o = 2b
we find
o = 60 oz
b = 30 oz
e = 10 oz
click here to see the step by step solution of the system of equations
he should use 60 oz of Orange Peoke, 30 oz of Irish Breakfast tea and 10 oz of Earl Grey.