Question

Write a problem that can be modeled by the equation $2x+40=60$. Then solve the equation and explain the solution in the context of the problem.

Short answer

A pair of jeans cost $\$60$. This is $\$40$more than the twice the cost of a jacket. What is the cost of jacket.

The cost of the jacket is $\$10$.

Step-by-step solution

Step 1. Determine the variable.

The given equation is$2x+40=60$

Let the cost of pair of jeans is $\$60$.

This is $\$40$more than the twice the cost of a jacket.

Step 2. Isolate the variable.

$\begin{array}{l}2x+40=60\\ 2x=20\end{array}$

Step 3. Simplify.

$\begin{array}{l}2x=20\\ x=10\end{array}$

Hence, the cost of the jacket is $\$10$.