Question 120540
Let's call the number of adult tickets, A, and the number of children's tickets, C.
1.{{{A+C=600}}} The total number of tickets sold was 600.
2.{{{4A+2C=1320}}} The total value of adult tickets ($8xA) children's tickets ($5xC) was $4116.
Use equation 1 to solve for A in terms of C.
1.{{{A+C=600}}}
{{{A=600-C}}}
Now substitute for A in equation 2 and solve for C.
2.{{{8A+5C=4116}}}
{{{8(600-C)+5C=4116}}}
{{{4800-8C+5C=4116}}}
{{{-3C=-684}}}
{{{C=228}}}
From 1,
{{{A=600-C}}}
{{{A=600-228}}}
{{{A=372}}}
372 Adult tickets sold and 228 children's tickets sold.