Problema Solution
a grocer has two varieties of coffe, one cost P60 per kilogram and another that costs P80 per kilogram. how many kilograms of each should the grocer mix in order to get 30 kg of a mixture worth P65 per kilogram?
Answer provided by our tutors
Let
x = the first variety of coffee by the price of 60 p/kg
y = the second variety of coffee by the price of 80 p/kg
We need to make a mix of total 30 kg
x + y = 30 that will cost 65 p/kg.
Thus we have
60*x + 80*y = 30*65
By solving the system of equations
x + y = 30
60*x + 80*y = 30*65
we find
x = 22.5 kg
y = 7.5 kg
the grocer should mix 22.5 kg of the first variety of coffee and 7.5 kg of the second variety of coffee.