Question 1195902
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He uses 4/7 of the bottles, so he must have 3/7 of them left.
x = number of bottles purchased


3/7 of x = (3/7)x = 6 bottles left


Solve for x.
(3/7)x = 6
3x = 6*7
3x = 42
x = 42/3
x = 14


If he bought 14 bottles and has 6 left over, then he must have used 8 of them (14-6 = 8).
Note how 8/14 = (2*4)/(2*7) = 4/7 represents the fraction of the bottles used up to confirm we have the correct x value. 



Answers:
(i) <font color=red>3/7</font>
(ii) <font color=red>14</font>
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