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12 Dec 2023, 07:01
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Minimum number of customers: 100
Maximum number of customers: 170
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:26) correct
27%
(01:37)
wrong
based on 513
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12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun
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.
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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.
| Minimum number of customers | Maximum number of customers | |
| 30 | ||
| 70 | ||
| 100 | ||
| 170 | ||
| 200 |
ShowHide Answer
Official Answer
Minimum number of customers: 100
Maximum number of customers: 170
23 Nov 2024, 11:58
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Bunuel
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"
Attachment:
GMAT-Club-Forum-di0rr0ce.png [ 14.82 KiB | Viewed 2139 times ]
General Discussion
12 Dec 2023, 07:35
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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
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
