BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The employees in a company ordered pizza or spaghetti. One-half of the employees ordered pizza, 35 of the employees ord

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

The employees in a company ordered pizza or spaghetti. One-half of the employees ordered pizza, 35 of the employees ord

by Max@Math Revolution » Tue Jul 21, 2020 2:13 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

The employees in a company ordered pizza or spaghetti. One-half of the employees ordered pizza, 3/5 of the employees ordered spaghetti, and 30% of the employees order both pizza and spaghetti. Six employees ordered neither. How many employees work for the company?

A. 15
B. 20
C. 25
D. 30
E. 35
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Re: The employees in a company ordered pizza or spaghetti. One-half of the employees ordered pizza, 35 of the employees

by Max@Math Revolution » Thu Jul 23, 2020 1:15 am
=>
7.21ps(a).png
Assume a + b + c + d = 100%.
We have a + c = 50%, a + b = 60% and a = 30%.
Substituting a = 30% into the other 2 equations gives us, a + c = 50%, 30% + c = 50%, c = 20% and a + b = 60%, 30% + b = 60%, b = 30%.
We have d = 20% since a + b + c + d = 100% and a + b + c = 80%.
Since 6 employees make up 20% of the total employees we have 6e = 20100. Cross multiplying gives us 20e = 600, and the total number of employees = 30.

Therefore, D is the correct answer.
Answer: D
Top
Post new topic Post Reply
• Page 1 of 1