SOLUTION: paul's calculator can make only two operations : add 12 to the number displayed ,or subtract 7 from it. today, it shows the number 1998. what is the minimal number of steps needed

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 Question 205864: paul's calculator can make only two operations : add 12 to the number displayed ,or subtract 7 from it. today, it shows the number 1998. what is the minimal number of steps needed to display the number 2000 ? A) 4 b) 12 c) 16 d) 21 e) 24Answer by ankor@dixie-net.com(15646)   (Show Source): You can put this solution on YOUR website!paul's calculator can make only two operations : add 12 to the number displayed ,or subtract 7 from it. today, it shows the number 1998. what is the minimal number of steps needed to display the number 2000? : The resulting increase from repeating the two operations = +2 ; Let x = no. of +12 steps Let y = no. of -7 steps : 12x - 7y = 2 -7y = -12x + 2 7y = 12x - 2; multiplied by -1 y = x - ; Substitute values for x until you get an integer value for y x = 6 ea +12 steps y = (6)- y = - y = y = 10 ea -7 steps : Total 16 steps