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.
- Read carefully the problem
- Find out what value is given, what is required, and what is asked to find.
- Use variables to represent the unknowns. A variable is usually represented by a letter such as x, p, m, and so on.
- Translate the problem into equations.
- 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
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