(i) How many coins did Karim initially have? (ii) For what cost per round should Karim agree to the deal Class 8
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(i) How many coins did Karim initially have? (ii) For what cost per round should Karim agree to the deal Class 8
Question 1.
(i) How many coins did Karim initially have? Class 8
(ii) For what cost per round should Karim agree to the deal, if he wants to increase the number of coins he has?
(iii) Through its magical powers, the genie knows the number of coins that Karim has. How should the genie set the cost per round so that it gets all of Karim’s coins?
Solution:
(i) Let Karim has x coins initially.
After first round, coins left with Karim
= 2x - 8.
After second round, coins left with Karim
= 4x - 16 - 8.
= 4x - 24.
After third round, coins left with Karim
= 2 (4x - 24) - 8
= 8x - 48 - 8
= 8x - 56
So, 8x - 56 = 0
i.e., 8x = 56
or x = [latex]\frac{56}{8}[/latex] = 7.
That is, Karim was having intially 7 coins.