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a family purchased tickets for a concert. they paid a total of $90 for 7 adult tickets and 12 child tickets. the price of a child ticket was two-thirds the price of an adult ticket . How much was the price of an adult ticket

User Philonous
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Let price of adult tickets be X and that of Child tickets be Y.
90 = 7X + 12Y
Y=2/3 X
90 = 7X + 12(2/3 X) = 15X
X=6, and also hence Y = 4
Therefore Price of adult tickets , X = 6

User Vitalizzare
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