Problema Solution
Mr. cruz mixed nuts that cost php 85.oo per kilogram with nuts that cost php 115.00 per kilogram. he now has a mixture of 50 kilograms of nuts that cost php 100.00 per kilogram. how many kilograms of each type of nuts did he use?
Answer provided by our tutors
let
x = kilograms of the 85.oo per kilogram nuts
y = kilograms of the 115.oo per kilogram nuts
he now has a mixture of 50 kilograms of nuts, this means that
x + y = 50
the cost of the new mixture is 100.00 per kg
the cost of x kg + the cost of y kg = the cost of the mix (x + y)
85*x + 115*y = 100*(x+y)
by solving the system of equations
x + y = 50
85*x + 115*y = 100*(x+y)
we find
x = 25 kg
y = 25 kg
He used 25 kg of each type of nuts.