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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?

2 Answers

5 votes

Answer:

380

Explanation:

User Marco Ancona
by
7.8k points
3 votes

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

User Graceann
by
8.2k points
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