Problema Solution

If 15lb of tea and 10lb of coffee together cost $15.50, while 25lb of tea and 13lb of coffee at the same prices cost $24.55, find the price per pound of each.

Answer provided by our tutors

let


t = the cost of 1 lbs of tea

c = the cost of 1 lbs of coffee


15lb of tea and 10lb of coffee together cost $15.50


15t + 10c = 15.50


25lb of tea and 13lb of coffee at the same prices cost $24.55


25t + 13c = 24.55


by solving the system of equations


15t + 10c = 15.50

25t + 13c = 24.55


we find


t = $0.8


c = $0.35


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the price of 1 lbs of tea is $0.8.


the price of 1 lbs of coffee is $0.35.