If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300

by BTGModeratorVI » Wed Mar 25, 2020 6:21 am

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If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Answer: D
Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Wed Mar 25, 2020 6:21 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8088; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300

by Scott@TargetTestPrep » Fri Mar 27, 2020 6:34 am

BTGModeratorVI wrote: ↑
Wed Mar 25, 2020 6:21 am
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Answer: D
Source: Official Guide

If we let x = the number of questionnaires that should be mailed, then x must satisfy 0.6x = 300. Then, x = 300/0.6 = 500.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300

by Brent@GMATPrepNow » Fri Mar 27, 2020 9:06 am

BTGModeratorVI wrote: ↑
Wed Mar 25, 2020 6:21 am
If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

(A) 400
(B) 420
(C) 480
(D) 500
(E) 600

Answer: D
Source: Official Guide

60 percent of those who receive a questionnaire by mail will respond
Rewrite as: 60 percent of receivers = responders
We want 300 responders, so rewrite as: 60 percent of receivers = 300
60% of what = 300?

Option #1) Check answer choices
A) 400
60% of 400 = 240 (nope, we want 300)
.
.
.
D) 500
60% of 500 = 300...works!!

Or option #2) algebra
60% of x = 300
0.6x = 300
x = 300/0.6
= 500
= D

Or...
60% of x = 300
0.6x = 300
(3/5)x = 300
x = (5/3)300
= 500
= D

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com