Question 120560
Let's call the number of adult tickets, A, and the number of children's tickets, C.
What do you know?
1.{{{A+C=380}}} The total number of tickets sold was 380.
2.{{{4A+2C=1320}}} The total value of adult tickets ($4xA) children's tickets ($2xC) was $1320.
Use equation 1 to solve for A in terms of C.
1.{{{A+C=380}}}
{{{A=380-C}}}
Now substitute for A in equation 2 and solve for C.
2.{{{4A+2C=1320}}}
{{{4(380-C)+2C=1320}}}
{{{1520-4C+2C=1320}}}
{{{-2C=-200}}}
{{{C=100}}}
From 1,
{{{A=380-C}}}
{{{A=380-100}}}
{{{A=280}}}
Check your answers.
1.{{{A+C=380}}}
{{{280+100=380}}}
{{{380=380}}}
True statement.
2.{{{4A+2C=1320}}}
{{{4(280)+2(100)=1320}}}
{{{1120+200=1320}}}
{{{1320=1320}}}
True statement.
Since your answers led to true statement, they are good answers.
280 Adult tickets sold and 100 children's tickets sold.