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Can someone please help me???

The school that Kevin goes to is selling tickets to a fieldtrip. On the first day of ticket sales, the school sold 3 adult tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 child tickets. Find the price of an adult ticket and the price of a child ticket.

Verified Answer :

$14 a ticket for children. 
Look at the differences between the two days and the costs.
3x = 24 (remove the child ticket and the cost of it from the first day)
x=8 
$
8 a ticket for adults.
Check these answers...
38 + 14 = 38
3
8 + 2 * 14
24 + 28 = 52