Q53.

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

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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$ .

1Step 1. Determine the variable.

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

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

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

2Step 2. Isolate the variable.

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

3Step 3. Simplify.

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

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