Question

A total of 616 tickets were sold for school play. They were either adult tickets or student tickets. There were 66 more student tickets than adult tickets. How many adults tickets were sold?

Answer 1

We have the next information

616 tickets were sold

x= adult tickets

y= student tickets

So we have the next equations

x+y=616

y=x+66

so we need to find x, substitute the second equation in the first equation

$x+x+66=616$

then we need to isolate the x

$\begin{gathered} 2x+66=616 \\ 2x=616-66 \\ 2x=550 \\ x=\frac{550}{2} \\ x=275 \end{gathered}$

then for y, we substitute the value of x in the second equation

$y=275+66=341$

adult tickets =275

student tickets= 341