Food mix A contains 2% fat, and food mix B contains 7% fat. A 20-kilogram diet mix of foods A and B is formed. If x kilograms of food A are used, write an algebraic expression that represents the total number of kilograms of fat in the final food mix. Simplify the expression.
Accepted Solution
A:
Answer:The required expression is y = 1.4 - 0.05xStep-by-step explanation:Consider the provided information.Food mix A contains 2% fat and food mix B contains 7% fat. Let x kilograms of food A are used, in a 20-kilogram mixture.Thus, 20 - x kilograms of food B are used, in a 20-kilogram mixture.Now It is given that A contains 2% fat and food mix B contains 7% fat. 2% and 7% can be written as 0.02 and 0.07 respectively. Let represent the total fat with y.Thus, the required expression is:y = 2% (x) + 7% (20 - x)y = 0.02 (x) + 0.07 (20 - x)y = 0.02x + 1.4 - 0.07xy = 1.4 - 0.05xHence, the required expression is y = 1.4 - 0.05x