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.

55 children's tickets

Step-by-step 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 =

c = 55

The number of children's tickets 55.

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step-by-2step explanation: