Question 7: S Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found:
| Type of Crust | Number Sold |
|---|---|
| Thin crust | 273 |
| Thick crust | 244 |
| Stuffed crust | 172 |
| Pan style | 286 |
Based on this information, of the next 5000 pizzas he sells, how many should he expect to be thin crust? Round your answer to the nearest whole number and do not round any intermediate calculations.
Answer (1)
Calculate the total number of pizzas sold: 273 + 244 + 172 + 286 = 975 .
Calculate the proportion of thin crust pizzas: 975 273 = 0.28 .
Estimate the number of thin crust pizzas in the next 5000: 0.28 × 5000 = 1400 .
Expect 1400 thin crust pizzas.
Explanation
Analyze the problem Let's analyze the problem. We are given the number of pizzas sold for each crust type last week and want to estimate how many of the next 5000 pizzas will be thin crust. We will calculate the proportion of thin crust pizzas sold last week and apply that proportion to the next 5000 pizzas.
Calculate the total pizzas sold First, we need to find the total number of pizzas sold last week. We add the number of each type of crust: Thin crust (273), Thick crust (244), Stuffed crust (172), and Pan style (286). The total number of pizzas sold is: 273 + 244 + 172 + 286 = 975
Calculate the proportion of thin crust pizzas Next, we calculate the proportion of thin crust pizzas sold last week. This is the number of thin crust pizzas divided by the total number of pizzas sold: 975 273 = 0.28
Estimate the number of thin crust pizzas Now, we estimate the number of thin crust pizzas sold in the next 5000 pizzas by multiplying the proportion of thin crust pizzas by 5000: 0.28 × 5000 = 1400
State the final answer Therefore, we expect 1400 of the next 5000 pizzas to be thin crust.
Examples
Imagine you are managing a bakery and want to predict how many chocolate cakes to bake based on last week's sales. If last week you sold 200 cakes in total, and 50 of them were chocolate, you can estimate that 25% of your customers prefer chocolate cake. If you plan to bake 400 cakes this week, you would estimate that 0.25 × 400 = 100 of them should be chocolate cakes. This helps in managing inventory and reducing waste.
