Sunny horizon cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. stephan’s bill for the month was $23.80. if the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes stephan talked during the month.

(0.10)m +10.00 = 23.80

0.10m = 13.80

m=13.80/0.10

m = 138 minutes

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let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.