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.
Accepted Solution
A:
Answer:55 children's ticketsStep-by-step explanation:Let the number of adult tickets sold = aLet the number of children tickets sold = cAs 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 = 10athe total price of the children tickets = 5ctotal tickets were sold for = $2,475So 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 = 2,47540c + 5 c = 2,47545c = 2,475c = [tex]\frac{2475}{45}[/tex]c = 55The number of children's tickets 55.