Question

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 eachand adult tickets cost $4 each. If the total receipts were $1740, how many students attendedthe talent show?

Answer 1

380

Explanation:

Answer 2

In total 530 tickets

Students tickets cost $3

Adult tickets cost $4

in total receipts were $1740

x= students

y=adults

we can have the next two equations

x+y=530

3x+4y=1740

we can rewrite the first equation

x=530-y

we substitute the equation above in the second equation

`\begin{gathered} 3(530-y)+4y=1740 \\ 1590-3y+4y=1740 \\ y=1740-1590 \\ y=150 \end{gathered}`

then we substitute the value of y in x=530-y

`\begin{gathered} x=530-150 \\ x=380 \end{gathered}`

In total 380 students attended the talent show