Question

Ticket sales for a spaghetti dinner total $2475. There are four times as many adult tickets sold as children's tickets. The prices of the tickets for adults and children are $10 and $5, respectively. Find the number of children's tickets sold.

Answer 1

55 children's tickets

Explanation:

Let the number of adult tickets sold = a

Let the number of children tickets sold = c

As per the statement "The adult tickets were sold four times as many as children's tickets".the equation will be

a = 4c ----- (1)

As per second statement "the prices of the tickets for adults and children are $10 and $5 respectively."

The total price of the adult tickets = 10a

the total price of the children tickets = 5c

total tickets were sold for = $2,475

So the equation will be

10a + 5c = 2,475 ------(2)

Now substitute the the value of a from equation (1) to equation (2).

10(4c) + 5c = 2,475

40c + 5 c = 2,475

45c = 2,475

c =
`(2475)/(45)`

c = 55

The number of children's tickets 55.