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Question 523215: Can someone pleas help me solve this math problem, thank you.
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 desired graphing program and paste the graph in your assignment document (edit/copy image).
d. Explain how the results are verified by the graph.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Cell phone A4 x numbers , Price = $35.00
Smart phoneZ20 y numbers , Price = $50.00
Total 51
x + y = 51 .............1
35 x + 50 y = 2220 .............2
Eliminate y
multiply (1)by -50
Multiply (2) by 1
-50 x -50 y = -2550
35 x 50 y = 2220
Add the two equations
-15 x = -330
/ -15
x = 22
plug value of x in (1)
x + y = 51
22 + y = 51
y = 51 -22
y = 29
y = 29
Cell phone A4, 22 numbers
Smart phoneZ20, 29 numbers
equation1 51 = 51
when x= 0, y= 51 ( 0 , 51 ) 51
when y = 0, x= 51 ( 51 , 0 ) 51
Equation 2
when x= 0, y= 44.4 ( 0 , 44.4 ) 44 2/5
when y = 0, x= 63.43 ( 63.43 , 0 )
m.ananth@hotmail.ca
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