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Jimmy's school is selling tickets to a play. On the first day of ticket sales the school sold 12 senior citizentickets and 5 child tickets for a total of $173. The school took in $74 on the second day by selling 1 seniorcitizen ticket and 5 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

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SOLUTION

Let s represent senior citizen tickets

and let c represent child ticket

On the first day the school sold 12 senior tickets and 5 child's tickets for $173.

This will be represented algebraically by 12s + 5c = 173 ..... equation 1

The following day they sold 1 senior ticket and 5 child's tickets for $74.

This will be represented by s + 5c = 74 ....... equation 2

Now we will solve equations 1 and 2 simultaneously we have

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