Tickets to the school play are $5.00 for adults and $3.50 for students. If the total value of all the tickets sold was $2517.50

and 100 more student bought tickets than adults, how many adults amd students bought tickets

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

$x-\ adults\\
y-\ students\\\\ \left \{ {{5x+3.50y=2517.5} \atop {x+100=y}} \right.\\\\
5x+3.5(x+100)=2517.5\\\\
5x+3.5x+350=2517.5\ \ \ | subtract\ 350\\\\
8.5x= 2167,5\ \ \ | divide\ by\ 8.5\\\\
x=255\\\\
y=355\\\\
There\ were\ 355\ student\ tickets\ and\ 255\ adult\ tickets.$

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