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One afternoon the water park sold 525 tickets for a total of $13,545 . Child tickets cost $19 each, and adult tickets cost $40 each. How many of each kind of ticket were sold?

1 Answer

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Answer: The no of child and adult are 355 and 170 respectively


Explanation:

Let the no of tickets for child be x

and the no of tickets for adult be y

Given x+y=525.........[1]

19x+40y=13545.........[2]

Multiplying [1] by 19

19x+19y=9975........[3]

Subtracting [3] from [2]

19x+40y-19x -19y= 13545-9975

21y=3570

Dividing both sides by 21

y=170

Putting value of y in [1]

x+170=525

Subtracting 170 both sides

x+170-170= 525-170

x=355

No of child =355

No of adults =170


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