Answer :
The price for each senior citizen ticket and child ticket is:
$9 and $2.6 respectively.
Given:
Josh's school is selling tickets to a spring musical. On the first day of ticket sales, the school sold 3 senior citizen tickets and 4 child tickets for a total of $40.
The school took in $59 on the second day by selling 6 senior citizen tickets and 5 child tickets.
we are asked to determine the price for each senior citizen ticket and each child ticket = ?
3S+4C = 40
6S+ 5C = 59
18S + 24C = 240
18S +15C = 168 subtract to eliminate one variable
⇒ 9C = 72
⇒ C = 72/9
⇒ C = 8
ticket for each child is $8
now, 3S+4C = 40
3S+4(8)=40
3S+32=40
3S=40-32
3S= 8
S = 8/3
S = 2.6
Hence the price for senior citizen and child ticket is $9 and $2.6 respectively.
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