Question 37441
Adult(A) = 16
Child (C) = 9
Total tickets sold = 24
Total collected = $258
{{{ A + C = 24 }}}
solve for A
{{{ A = 24 - C }}}
Substitute this into the next equation
{{{ 16A + 9C = $258 }}}
{{{ 16(24-C) + 9C = $258 }}}
Distribute
{{{ 384 - 16C + 9C = 258 }}}
Combine like terms
{{{ 384 - 7C = 258 }}}
subtract 384 from both sides
{{{ -7C = -126 }}}
Divide by -7
{{{ C = 18 }}}
This is what you were solving for in the first place