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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\$2.50 each and he has $14.75\$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 Marco\textbf{Marco} for buying tickets =$14.75= \$14.75

Cost of each ticket =$2.50= \$2.50

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

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

2.52.5 multiplied by nn is at most $14.75\$14.75.

2.5×n14.752.5×n2.514.752.5(Dividing both sides by 2.5)n5.9(1)\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, Marco\textbf{Marco} can buy at most 55 tickets.

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

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