In a certain month, a pizzeria sold \(75\) pizzas in the first week, twice as many in the second week as in the first,

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Source: Princeton Review

In a certain month, a pizzeria sold \(75\) pizzas in the first week, twice as many as in the second week as in the first, two-thirds more in the third week than in the first, and three-fifths as many in the fourth week as in the second. What is the average number, per week, of pizzas sold by the pizzeria?

A. \(100\)
B. \(105\)
C. \(110\)
D. \(115\)
E. \(120\)

The OA is C

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BTGmoderatorLU wrote:
Sat Jul 23, 2022 8:07 am
Source: Princeton Review

In a certain month, a pizzeria sold \(75\) pizzas in the first week, twice as many as in the second week as in the first, two-thirds more in the third week than in the first, and three-fifths as many in the fourth week as in the second. What is the average number, per week, of pizzas sold by the pizzeria?

A. \(100\)
B. \(105\)
C. \(110\)
D. \(115\)
E. \(120\)

The OA is C
Solution:

We see that the pizzeria sold 150 pizzas in the 2nd week and (1 + 2/3) x 75 = 5/3 x 75 = 125 in the 3rd week and 3/5 x 150 = 90 in the 4th week.

So the average number of pizzas sold per week was:

(75 + 150 + 125 + 90)/4 = 440/4 = 110

Answer: C

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