the school that Stefan goes to is selling tickets to a choral performance. on the fist day of ticket sales that school sold 3 senior citizens tickets and 1 child ticket for a total of $38. the school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. find the price of a senior citizen ticket and the price of a child ticket.

Question

Mathematics

Skyler Jennings

2 March, 11:04

the school that Stefan goes to is selling tickets to a choral performance. on the fist day of ticket sales that school sold 3 senior citizens tickets and 1 child ticket for a total of $38. the school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. find the price of a senior citizen ticket and the price of a child ticket.

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Answers (1)

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Violet Dominguez · Answer 1

senior: $8 child: $14

Step-by-step explanation:

The difference in sales from the first day to the second is 1 child ticket and $14. Thus the cost of 1 child ticket must be $14.

Subtracting that child ticket cost from the first day's sales, we have 3 senior tickets sold for $38 - 14 = $24. Thus the cost of one senior ticket must be $8.

The price of a senior ticket is $8; the price of a child ticket is $14.