SOLUTION: Gilbert makes frequent calls from country A to country B. His calling plan costs​ $5.00 per month plus 7¢ per minute for calls made to a landline and 17¢ per minute for calls

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Question 1110009: Gilbert makes frequent calls from country A to country B. His calling plan costs​ $5.00 per month plus 7¢ per minute for calls made to a landline and 17¢ per minute for calls made to a wireless number. One month his bill was ​$55.50. If he talked for a total of 350 ​min, how many minutes were to a landline and how many minutes to a wireless​ number?
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
The given problem is equivalent to this system of 2 equations in 2 unknowns

 x +   y = 350,                 (1)     (counting minutes)
7x + 17y = 5550 - 500           (2)     (counting dollars and cents)


After substitution  y = 350 - x  from the first equation to the second equation, the system is reduced to a single equation for only ONE unknown


7x + 17*(350-x) = 5050,

7x + 17*350 - 17x = 5050,

-10x = 5050 - 17*350 = -900  ====>  x = 90.


Answer.  90 landline minutes and the rest 350-90 = 260 wireless minutes.

Solved.   //   On the way, you learned on how the Substitution method works.

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Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


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Free of charge online textbook in ALGEBRA-I
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