Question

Write the verbal sentence as an equation. Eleven is two fifths of the quantity \(n\) decreased by thirteen.

Short answer

The equation is \(11 = \frac{2}{5}(n-13)\).

Step-by-step solution

Identification of Mathematical Equivalents

Identify the corresponding mathematical equivalents. 'Eleven' becomes 11, 'two fifths' is 2/5, 'the quantity \(n\) decreased by thirteen' translates to \(n - 13\), and 'is' signifies the equal sign (=).

Formulate the equation

Now that all the mathematical equivalents are known, the sentence 'Eleven is two fifths of the quantity \(n\) decreased by thirteen' can be written as the equation \(11 = \frac{2}{5}(n-13)\).