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

by BTGmoderatorLU » Sat Jul 23, 2022 8:07 am

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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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Re: In a certain month, a pizzeria sold $$75$$ pizzas in the first week, twice as many in the second week as in the firs

by [email protected] » Fri Dec 30, 2022 8:09 am
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