Question 1089421

student tickets {{{x}}}  and adults tickets {{{y}}}

sold {{{275}}} =>
{{{x+y=275}}}.....eq.1

if the student tickets costs ${{{3}}} and adults tickets cost ${{{5}}}, and The total value of tickets sold is ${{{1025}}}, than we have
{{{3x+5y=1025}}}.....eq.2

the system of equation to represent this problem is: 
 
{{{x+y=275}}}.....eq.1
{{{3x+5y=1025}}}.....eq.2
-------------------------- 
use substitution

{{{x+y=275}}}.....eq.1...solve for {{{x}}}

{{{x=275-y}}}

go to

{{{3x+5y=1025}}}.....eq.2, substitute {{{x}}} and solve for {{{y}}}

{{{3(275-y)+5y=1025}}}

{{{825-3y+5y=1025}}}

{{{2y=1025-825}}}

{{{2y=200}}}

{{{highlight(y=100)}}}

go to

{{{x=275-y}}} substitute {{{y}}} and solve for {{{x}}}

{{{x=275-100}}}

{{{highlight(x=175)}}}

so,from {{{275}}} tickets sold, {{{highlight(100)}}}tickets were sold to adults  and {{{highlight(175)}}} tickets were sold to students