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

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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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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

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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
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