Question 140724
First name your variables.
A-adult ticket
C-child ticket
1.{{{A+C=282}}}
2.{{{5*A+3*C=1046}}}
Use equation 1 to solve for A in terms of C.
1.{{{A+C=282}}}
{{{A=282-C}}}
Now subsitute for A in equation 2.
2.{{{5*A+3*C=1046}}}
{{{5*(282-C)+3*C=1046}}}
{{{1410-5C+3C=1046}}}
{{{-2C=-364}}}
{{{C=182}}}
From above
{{{A=282-C}}}
{{{A=282-182}}}
{{{A=100}}}
A=100
C=182