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In order to estimate the total cost, let's consider the most expensive item on the dinner and let's include drinks.
So, listing all costs, we have:
Ben's dinner: $13.80
Friend's dinner: $13.80
Drinks for both: 2 * $1.95 = $3.90
Now, let's calculate the total before the tip and after the tip:
[tex]\begin{gathered} total=2\cdot13.8+2\cdot1.95=27.6+3.9=31.5\\ \\ tip=\frac{20}{100}\cdot31.5=6.3\\ \\ total\text{ }with\text{ }tip=37.8 \end{gathered}[/tex]Now, including the movie tickets, we have:
[tex]tickets=2\cdot6=12[/tex]Therefore the total cost is $37.8 + $12 = $49.8.
So a reasonable estimate he will need is $51.00, therefore the correct option is A.