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Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was $800$, $70\%$ of which were to be delivered to Party $3$ and the rest equally divided between Party $1$ and Party $2$.

Pizzas could be of Thin Crust $(T)$ or Deep Dish $(D)$ variety and come in either Normal Cheese $(NC)$ or Extra Cheese $(EC)$ versions. Hence, there are four types of pizzas: $T-NC$, $T-EC$, $D-NC$ and $D-EC$. Partial information about proportions of $T$ and $NC$ pizzas ordered by the three parties is given below:

$\begin{array}{cccc} & \text{Thin Crust (T)} & \text{Normal Cheese (NC)} \\ \text{Party 1} & 0.6 & - \\ \text{Party 2} & 0.55 & 0.3 \\ \text{Party 3} & - & 0.65 \\ \text{Total }& 0.375 & 0.52 \end{array}$

For Party $2$, if $50\%$ of the Normal Cheese pizzas were of Thin Crust variety, what was the difference between the numbers of $T-EC$ and $D-EC$ pizzas to be delivered to Party $2$?

1. $18$
2. $12$
3. $30$
4. $24$

1
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2
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