Hani feeds his cats with different mixture of three types of food, namely x, and , as given below.

Food X: 10m protein, 5m carbohydrates, 15m vitamins
Food Y: 15m protein, 10m carbohydrates, 5m vitamins
Food Z: 15m protein, 5m carbohydrates, 15m vitamins

Assume that cats require 190m of protein, 95m of carbohydrates and 160m of vitamins. Determine how many milligrams of each food should Hani feeds her cats daily to satisfy their nutrient requirements.