Question

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.

Answer 1

The required expression is y = 1.4 - 0.05x

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 - 0.07x

y = 1.4 - 0.05x

Hence, the required expression is y = 1.4 - 0.05x