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egoroff_w [7]
1 year ago
5

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

on to find out how much you spend on each cd
Mathematics
1 answer:
Ratling [72]1 year ago
8 0

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:

brainly.com/question/13818690

#SPJ4

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Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

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Rearrange (2) expressing y in terms of x

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y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

9x + 33 = 11 - 2x ( add 2x to both sides )

11x + 33 = 11 ( subtract 33 from both sides )

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Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) :  left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

right side = 5 - 11 = - 6 ⇒ left = right

solution = (- 2, 5 )



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