Question:
500 tickets were sold for a concert. Of these x tickets were sold at $6 each and the remainder at $10 each. Write an expression in terms of x for the number of tickets sold at $10 each
Answer:
[tex]y = 500 - x[/tex]
Step-by-step explanation:
Given
[tex]Total = 500[/tex]
x tickets costs $6 each
Others cost $10 each
Required
Write an expression for the rest
Let the remaining number of tickets be y.
Such that:
[tex]x + y = 500[/tex]
Subtract x from both sides
[tex]-x + x + y = 500 - x[/tex]
[tex]y = 500 - x[/tex]
Hence, the number of tickets sold for $10 each is 500 - x