Question 696901
Let A = # of Adult tickets
Let C = # of Child tickets

Equation 1: {{{A + C = 295}}}
Equation 2: {{{5A + 2C = 1220}}}
------------------------
Solve equation 1 for one of the variables
Equation 1: {{{A + C = 295}}}
{{{A = 295 - C}}}
Now plug (295 - C) into equation 2 for A
Equation 2: {{{5A + 2C = 1220}}}
{{{5*(295 - C) + 2C = 1220}}}
Simplify
{{{1475 - 5C + 2C = 1220}}}
Combine like terms
{{{1475 - 3C = 1220}}}
Add 3C to both sides
{{{1475 = 1220 + 3C}}}
Subtract 1220 from both sides
{{{255 = 3C}}}
Divide both sides by 3
{{{highlight(85 = C)}}}
Now plug 85 into equation 1 for C
Equation 1: {{{A + C = 295}}}
{{{A + (85) = 295}}}
Subtract 85 from both sides
{{{highlight_green(A = 210)}}}