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25-09-2017
Mathematics

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Cinema tickets for 1 adult and 3 children cost €27. The cost for 2 adults and 5 children is €48. Find the cost of one adult ticket and the cost of one child ticket.

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dizhkait dizhkait

25-09-2017

Lets name adult price as X and child price as Y
then
1X+3Y=27 (1)
2X+5Y=48 (2)

From (1) we see that X=27-3Y
Lets replace X in (2) with this formula

2(27-3Y)+5Y=48 or 54-6Y+5Y=48 and 54-Y=48 and Y=54-48 so Y=6

From (1) X=27-3*6; X=27-18; X=9

Adult = 9€
Child = 6€

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