Question

Jasmine's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 11 senior tickets and 4 child tickets for a total of $123. The school took in $21 on the second day by selling 1 senior citizen ticker and 2 child tickets. What is the price each of one senior citizen ticket and one child ticket. Question 9 options: Senior Citizen Ticker: $5, child ticket: $7 Senior Citizen Ticker: $9, child ticket: $6 Senior Citizen Ticker: $6, child ticket: $9 Senior Citizen Ticker: $7, child ticket: $2

Answer 1

If we make s = Senior tickets,  

11s+1s

to find the values of c and s,w

If we express s in terms of c on t

s=21-2c

replacing this value on the first equation, we obtain

$11(21-2c)+4c=123\\11.21-22c+4c=123\\231-18c=123\\231=123+18c\\231-123=18c\\108=18c\\c=\frac{108}{18} \\c=6$

Placing c=6 on s=21-2c, we have

$s=21-2(6)\\s=21-12\\s=9$

Thus the senior ticket costs $9 and the child ticket cost $6

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