Question 698423
Let C = # of Children
Let A = # of Adults
Equation 1: {{{A + C = 263}}}
Equation 2: {{{4A + 1.5C = 682}}}
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Solve equation 1 for one of the variables
Equation 1: {{{A + C = 263}}}
{{{A = 263 - C}}}
Now Plug (263 - C) into equation 2 for A
Equation 2: {{{4A + 1.5C = 682}}}
{{{4*(263 - C) + 1.5C = 682}}}
Simplify
{{{1052 - 4C + 1.5C = 682}}}
Combine like terms
{{{1052 - 2.5C = 682}}}
Add 2.5C to both sides
{{{1052 = 682 + 2.5C}}}
Subtract 682 from both sides
{{{370 = 2.5C}}}
Divide both sides by 2.5
{{{highlight(148 = C)}}}
Now go back and plug 148 in for C
{{{A = 263 - C}}}
{{{A = 263 - (148)}}}
{{{highlight_green(A = 115)}}}