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11 July, 23:32

Instructions:

Three of Carlos and Clarita's friends are purchasing school supplies at the bookstore. Stan buys a notebook, three packages of pencils, and two markers for $7.50. Jan buys two notebooks, six packages of pencils, and five markers for $15.50. Fran buys a notebook, two packages of pencils, and two markers for $6.25.

Question 1

Based on the information in the instructions, write a system of equations to model the situation. Let n represent the price of a notebook, p represent the price of a package of pencils, and m represent the price of a marker.

Question 2 How much does an individual notebook cost? Question 3 How much does a package of pencils cost? Question 4 How much does an individual marker cost?

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Answers (1)
  1. 11 July, 23:43
    0
    Notebook = $2.75

    Pencil = $1.25

    Markers = $ 0.50

    Step-by-step explanation:

    Stan:

    n + 3p + 2m = 7.5

    Jan:

    2n + 6p + 5m = 15.50

    Fran:

    n + 2p + 2m = 6.25

    Stan - Fran:

    p = 1.25

    Lets replace p with 1.25

    n + 3 (1.25) + 2m = 7.5

    2n + 6 (1.25) + 5m = 15.50

    n + 2 (1.25) + 2m = 6.25

    Simplify

    n + 3.75 + 2m = 7.5

    2n + 7.5 + 5m = 15.50

    n + 2.50 + 2m = 6.25

    n + 2m = 3.75 stan

    2n + 5m = 8 jan

    n + 2m = 3.75 fran

    stan = fran

    jan - 2 (stan)

    m = 0.5

    n = 2.75
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