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We start to work with this question by underlining the most important information it provides us:__All tickets__ for a concert are the __same price__.__Amy and Dan__ pay __£63__ for __some tickets__. __Amy__ pays __£24.50__ for __7 tickets__. How many __tickets__ does __Dan__ buy?So Amy (A) and Dan (D) purchased x tickets for £63. **--> A + D = 63 for x tickets**But we know that A payed exactly £24.50 for 7 tickets. **--> A = 24.5 for 7 tickets**Therefore you can combine these two to find out how much D payed himself. **--> D = 38.5 for x-7 tickets**Now we want to find out how much 1 ticket costs. For that just look at A's purchase. She bought 7 tickets that are the same price for £24.50. So if we divide this 24.50 by 7 we get the price of 1 ticket. **--> 1 ticket = 24.5/7 = £3.5 **Since we know that D bought tickets worth £38.50 and again of the same price, we can calculate the number of tickets he bought himself by dividing the total price with the price of one ticket. **--> 38.50/3.50 = 11And there you have your answer: Dan bought 11 tickets on his own.**