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 equati

Question

2 years ago

5

on to find out how much you spend on each cd

1 answer:

Ratling [72] · Answer 1 · 2023-07-08T14:02:55+03:00

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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