Problema Solution

A party mix is made by adding nuts that sell for ​$2.50

per kg to a cereal mixture that sells for ​$1

per kg. How much of each should be added to obtain 30

kg of a mix that will sell for ​$2.10

per​ kg?

Answer provided by our tutors

Let 'x' represent the weight of the nuts and 'y' the weight of the cereal mix needed for the mix.

x + y = 30

2.50x + 1y = 30*2.10

........

click here to see the system of equations solved for x and y

........

x = 22 kg

y = 8 kg

22 kilograms of nuts and 8 kilograms of cereal should be used for the mix.