Question

Jenny's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 6 senior citizen tickets and 4 student tickets for a total of $118. The school took in $258 on the second day by selling 14 senior citizen tickets and 8 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

Answer 1

The cost of tickets for senior citizen and students are $11 and $13 respectively.

System of equations

To solve this problem, we have to write out system of equations and solve the value of the unknown.

Let;

• x = senior citizen ticket
• y = student tickets.

We can express the problem mathematically as;

$6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)$

Solving for x and y;

$6x + 4y = 118..eq(i)\\14x + 8y = 258 ...eq(ii)\\x = 11, y = 13$

From the calculations above, the value of x and y are 11 and 13 respectively.

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