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31 January, 02:34

2.) You are buying gifts for 10 people. You decide to buy each person either a CD or a

DVD. A CD costs $12 and a DVD costs $20.

a. Let c = the number of CDs you decide to buy. Write an expression in terms of c

for the number of DVDs you buy.

b. Write an expression in terms of c for the cost of the CDs.

c. Write an expression in terms of c for the cost of the DVDs.

d. Write and simplify an expression in terms of c for the total cost of all the gifts you

buy.

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Answers (1)
  1. 31 January, 05:31
    0
    a. The number of DVDs is 10 - c

    b. The cost of the CDs is 12c

    c. The cost of the DVDs is 20 (10 - c)

    d. The total cost of all gifts is 200 - 8c

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - You are buying gifts for 10 people

    # You will buy 10 gifts

    - The gifts are CD or DVD

    # The total numbers of CDs and DVDs is 10

    - The cost of each CD is $12 and the cost of each DVD is $20

    a.

    # c is the number of CDs

    ∵ You buy c CDs

    ∵ The total numbers of CDs and DVDs is 10 as we said up

    ∴ c + the numbers of DVDs = 10

    - Subtract c from both sides

    ∴ The number of DVDs = 10 - c

    * The number of DVDs is 10 - c

    b.

    ∵ The number if CDs is c

    ∵ The cost of each CD is $12

    ∴ The cost of the CDs = 12 * c = 12c

    * The cost of the CDs is 12c

    c.

    ∵ The number of DVDs is 10 - c

    ∵ The cost of each DVD is $20

    ∴ The cost of the DVDs = 20 (10 - c)

    * The cost of the DVDs is 20 (10 - c)

    d.

    ∵ The cost of the CDs is 12c

    ∵ The cost of the DVDs is 20 (10 - c)

    - The total cost of all the gifts is the sum of the costs of CDs and DVDs

    ∴ The total cost of all gifts = 12c + 20 (10 - c)

    - Multiply the bracket by 20

    ∵ 20 (10 - c) = 100 (2) - 20 (c) = 200 - 20c

    ∴ The total cost of all gifts = 12c + 200 - 20c

    - Add like terms

    ∴ The total cost of all gifts = 200 - 8c

    * The total cost of all gifts is 200 - 8c
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