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Question

# Marco's Drama class is performing a play. He wants to buy as many tickets as he can afford. If tickets cost $\2.50$ each and he has $\14.75$ to spend, hw many tickets can he buy? (A) 4 tickets (B) 0 tickets (C) 6 tickets (D) 5 tickets

Solution

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Budget of $\textbf{Marco}$ for buying tickets $= \14.75$

Cost of each ticket $= \2.50$

Let $n$ represent the number of tickets $\textbf{Marco}$ can buy.

Cost of each ticket multiplied by number of tickets is at most $\14.75$.

$2.5$ multiplied by $n$ is at most $\14.75$.

\begin{align*} \Rightarrow 2.5 \times n &\leq 14.75\\ \Rightarrow \frac{2.5 \times n}{2.5} &\leq \frac{14.75}{2.5} \hspace{10mm} \text{\textcolor{#4257b2}{(Dividing both sides by 2.5)}}\\ \Rightarrow n &\leq 5.9 \hspace{15mm} \text{\textcolor{#4257b2}{(1)}} \end{align*}

Since number of tickets is a whole number.Thus, $\textbf{Marco}$ can buy at most $5$ tickets.

$\text{\textcolor{#4257b2}{\fbox{Option \textbf{D}}}}$

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