Exercise 40 Page 800

To solve this problem, we first need to write the given information as equations. Let $x$ be the amount of adult tickets sold and $y$ be the amount of children's tickets sold. We are given that $925$ tickets were sold. Let's write this as an equation. We are also told that each adult ticket costs $\$7.50$ and that each children's ticket costs $\$3.00.$ All the tickets were sold for $\$5925.$ Let's write this as an equation. Combining these equations, we get a system of equations. To find out how many adult's ticket were sold, we need to solve this system for $x.$ To do that, we will use the Elimination Method to eliminate $y$ in one of the equations. Let's begin by multiplying Equation (I) by $\text{-}3.$ We can see that $700$ adult tickets were sold. Therefore, the correct answer is F.