To solve this problem, we will follow a systematic approach, quickly but clearly:
1. Calculate the total number of pizzas sold last week:
We sum up the number of each type of crust sold:
[tex]\[
\text{Total Pizzas Sold Last Week} = 287 (\text{Thin crust}) + 250 (\text{Thick crust}) + 290 (\text{Stuffed crust}) + 198 (\text{Pan style})
\][/tex]
Adding these together gives us:
[tex]\[
\text{Total Pizzas Sold Last Week} = 287 + 250 + 290 + 198 = 1025
\][/tex]
2. Calculate the proportion of thin crust pizzas sold last week:
To find this proportion, we divide the number of thin crust pizzas by the total number of pizzas sold:
[tex]\[
\text{Proportion of Thin Crust} = \frac{287}{1025}
\][/tex]
This gives us:
[tex]\[
\text{Proportion of Thin Crust} = 0.28
\][/tex]
3. Estimate the number of thin crust pizzas to be sold next week:
Based on the total number of pizzas expected to be sold next week, we multiply by the proportion of thin crust pizzas:
[tex]\[
\text{Expected Thin Crust Next Week} = 0.28 \times 4500
\][/tex]
This calculation gives us:
[tex]\[
\text{Expected Thin Crust Next Week} \approx 1260.0000000000002
\][/tex]
4. Round the expected number to the nearest whole number:
Since we cannot have a fractional number of pizzas, we round 1260.0000000000002 to the nearest whole number:
[tex]\[
\text{Expected Thin Crust Next Week} = 1260
\][/tex]
So, based on these calculations, Valentino's Pizzeria should expect to sell approximately [tex]\( \boxed{1260} \)[/tex] thin crust pizzas next week.
