A pizza shop sells only two types of pizza: Margarita and Pepperoni. O

Question

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A pizza shop sells only two types of pizza: Margarita and Pepperoni. On a particular day, the shop sold 70 Margaritas and 100 Pepperonis.

If it is known that none of the customers purchased more than one pizza of a particular type, and each customer purchased at least one pizza, then select for  Minimum number of customers  the least possible customers the shop could have received and for  Maximum number of customers  the maximum possible customers the shop could have received. Make only two selections, one for each.

Bunuel · Accepted Answer

Official Solution: To minimize the number of customers, we should maximize the number of pizzas each customer could have bought. Since a customer could only buy one pizza of each type, the maximum a customer could purchase is 1 Margarita and 1 Pepperoni. In this case, 70 customers would account for 70 Margaritas and 70 Pepperonis, leaving 30 Pepperonis remaining. These 30 Pepperonis would require 30 additional customers, making the minimum number of customers equal to 70 + 30 = 100. To maximize the number of customers, we need to minimize the number of pizzas each customer could have bought. Given that each customer purchased at least one pizza, the fewest pizzas a customer could buy is 1. Since a total of 170 pizzas were sold, the maximum number of customers would be 170, with each customer buying just 1 pizza. Correct answer: Minimum number of customers "100" Maximum number of customers "170" GMAT-Club-Forum-di0rr0ce.png

Median · Answer

To find the minimum number of customers, we consider that each customer could have purchased one of each type of pizza. Since there were 100 Pepperonis sold, and assuming that each of these customers also bought a Margarita, the minimum number of customers must be at least as many as the number of Pepperoni pizzas sold, because the number of Pepperoni pizzas is greater than the number of Margarita pizzas.

Therefore, the minimum number of customers is 100.

The maximum number of customers would indeed be the total number of pizzas sold, which is 70 + 100 = 170, because in this case each customer only bought one pizza, and every pizza is accounted for as one customer.

So the correct answer is:

Minimum number of customers: 100
Maximum number of customers: 170

Kinshook · Answer

Given:  A pizza shop sells only two types of pizza: Margarita and Pepperoni. On a particular day, the shop sold 70 Margaritas and 100 Pepperonis.

Asked:  If it is known that none of the customers purchased more than one pizza of a particular type, and each customer purchased at least one pizza, then select for  Minimum number of customers  the least possible customers the shop could have received and for  Maximum number of customers  the maximum possible customers the shop could have received. Make only two selections, one for each.

Minimum number of customers: - 
Customers ordering 1 Margarita & 1 Pepperonis Pizzas = 70
Customers ordering 1 Pepperonis Pizza = 100 - 70 = 30
Minimum number of customers = 70 + 30 = 100

Maximum number of customers: - 
Customers ordering 1 Margarita Pizza = 70
Customers ordering 1 Pepperonis Pizza = 100 
Maximum number of customers = 70 + 100 = 170

Catman · Answer

A pizza shop sells only two types of pizza: Margarita and Pepperoni. On a particular day, the shop sold 70 Margaritas and 100 Pepperonis.

To Find minimum Number of Customers:
Let 70 People Purchase Margarita and Pepperoni and 30 People Purchase remaining Margaritas.
Alternatively out of 100 People who purchase Pepperonis, 70 also purchase Margarita.

To find Maximum Number of Customers:
70 People purchase only Margaritas
100 People purchase only Pepperonis.

IMO Minimum Customers 100, Maximum Customers 170.

vishal_gupta · Answer

When all the customers buying 'M' pizza also buys 'P' pizzas, then we have customers who buy both type of pizzas=70, and the remaining pizzas will be bought individually by each customer. 
 Therefore min no. of customers = 100.

When none pf the customers buying 'M' pizza also buys 'P' pizzas, then we have customers who buy only 'M'=70 and only 'P'=100.
 Therefore max no. of customers = 170.

Mukulkumar19 · Answer

Keeping in mind the restrictions, Minimum number of customers = (maximum customers buying both pizza) 70 margarita and Pepperoni remaining 30 Pepperoni other 30 customers i.e total  100 customers 
 Keeping in mind the restrictions, Maximum number of customers = (maximum different customers buying different pizzas) 70 margarita and 100 Pepperoni all pizzas by different customers i.e total  170 customers

brp616 · Answer

Here is how I went about the problem:

We know there are 70 margherita and 100 pepperoni pizzas, and all customers purchased at least one pizza.

This means the max number of customers is 170, because if each customer purchased at least 1 then we could have 1 pizza per customer, and there were 170 pizzas total.

The minimum is a little trickier and the wording here almost got me tripped up. It says no customer got more than 1 pizza of a particular type, meaning no one purchased more than 1 margherita or pepperoni, but could have purchased 1 one of each, or a max of 2 pizzas. So the minimum scenario is the scenario where each customer purchases a margherita and a pepperoni until the margheritas run out, then the remaining customers each purchase a single pepperoni pizza.

So, we have 70 customers buy one margherita and one pepperoni each, leaving us with 30 leftover pepperonis

Each remaining customer buys a single pepperoni (30 customers)

So we get 30 + 70 = 100 customer minimum

bumpbot · Answer

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A pizza shop sells only two types of pizza: Margarita and Pepperoni. O

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Minimum number of customers	Maximum number of customers
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GMAT Two-part Analysis (TPA) Questions

A pizza shop sells only two types of pizza: Margarita and Pepperoni. O

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