Suppose that in one week, your company takes in $2,220 in sales at one of its ce

Question

Suppose that in one week, your company takes in $2,220 in sales at one of its cell phone stores. The price breakdown per phone is as follows:
Cell phone model A4: $35
Smartphone Z20: $50

Suppose that a total of 51 phones were sold.
a.Set up the system of equations that needs to be solved to determine how many of each type of phone were sold. Give a clear definition of the variables in the system.
b.Solve the system of equations, showing clearly how the solution was determined, and state the results clearly in light of the real-world situation.
c.Verify your results of the 2 linear equations by graphing in the graph program (http://www.padowan.dk/graph), and paste the graph in your assignment document (edit/copy image).
d.Explain how the results are verified by the graph.

Explanation / Answer

given A + Z = 51

A is noof cells of A4 type

Z is no of cells of Z20 type

A 35 + Z 50 = 2220         this is sales equation and solution to a)

b) A + Z = 51   => A = 51 - Z

35 A + 50Z = 2220

35(51-Z)+50Z = 2220

2220 - 35*51 = 50Z-35Z

15Z = 435   => Z = 435 / 15 = 29

A = 51- Z = >   51 - 29 = 22

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