Question

You spend $30.40 on 4 cds. each cd costs the same amount and is on sale for 80% of the original price. write and solve an equation to find out how much you spend on each cd

Answer 1

The original price of a CD is $9.50. However, since they are 80% off, you spend $7.60 on each CD.

Steps to translate the given word problem to a linear equation.

1. Read carefully the problem
2. Find out what value is given, what is required, and what is asked to find.
3. Use variables to represent the unknowns. A variable is usually represented by a letter such as x, p, m, and so on.
4. Translate the problem into equations.
5. Solve the equations using elimination, substitution, or graph method.

In the given problem, let p be the original price of each CD.

The CD is on sale for 80%, therefore, $30.40 is the total money spent for 4 discounted CDs.

We can represent this as:

    4 x (80% x p) = 30.40

     4 (0.8p) = 30.40

      3.2 p = 30.40

            p = 9.50

Hence, the original price of a CD is $9.50. However, since they are 80% off, you spend = 0.8 x $9.50 = $7.60 on each CD

Read more about translating a word problem into an equation here:

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