Question

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?

Answer 1

Notebook = $2.75

Pencil = $1.25

Markers = $ 0.50

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