Q15. - Algebra 1

Question

For the first home baseball game, 652 tickets were sold for a total revenue of $\mathbf{\$}\mathbf{5216}$. If each tickets costs the same, how much is the cost per ticket? State the answer in dollars.

Step-by-Step Solution

Answer

The cost of one ticket is $\mathbf{\$}\mathbf{8}$.

Step 1. Explain the concept used.

Suppose cost of $x$ items$=\$y$.

Then cost of 1 item( if the cost of each item is same) $=\$\frac{y}{x}$.

Step 2. Calculate the cost of one ticket.

The cost of 652 tickets is $\$5216$.

As each tickets costs same, 

$\begin{array}{c}\text{The\hspace{0.17em}\hspace{0.17em}cost\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}one\hspace{0.17em}\hspace{0.17em}ticket}=\frac{5216}{652}\\ =\$8\end{array}$

Step 3. State the conclusion.

Therefore, the cost of each ticket is 8 dollar.