Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much a

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

Redeem

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

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

Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much a

by BTGModeratorVI » Thu Dec 03, 2020 2:41 pm

Timer

00:00

Your Answer

Global Stats

Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much as Beth. How much did Beth raise?

A. $9
B. $10
C. $12
D. $13
E. $15

Answer: C
Source: official guide

Quote

Source: Beat The GMAT — Problem Solving | Thu Dec 03, 2020 2:41 pm

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as mu

by Scott@TargetTestPrep » Tue Dec 08, 2020 12:58 pm

BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:41 pm
Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much as Beth. How much did Beth raise?

A. $9
B. $10
C. $12
D. $13
E. $15

Answer: C
Source: official guide

Solution:

Let B, N and J be the amount of money Beth, Naomi, and Juan raised, respectively. We can create the equations:

B + N + J = 55

N = J - 5

and

J = 2B

Since J = 2B, N = 2B - 5. Substituting these quantities in the first equation, we have:

B + 2B - 5 + 2B = 55

5B = 60

B = 12

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Quote

GMAT/MBA Expert

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: Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as mu

by Brent@GMATPrepNow » Wed Dec 09, 2020 7:11 am

BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:41 pm
Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much as Beth. How much did Beth raise?

A. $9
B. $10
C. $12
D. $13
E. $15

Answer: C
Source: official guide

Let B = the amount that Beth raised

Juan raised twice as much as Beth
So, 2B = the amount Juan raised

Naomi raised $5 less than Juan
So, 2B - 5 = amount Naomi raised

Beth, Naomi, and Juan raised a total of $55
In other words: (Beth's amount) + (Naomi's amount) + (Juan's amount) = 55
Substitute to get: B + (2B - 5) + 2B = 55
Simplify: 5B - 5 = 55
Add 5 to both sides of the equation: 5B = 60
Divide both sides by 5 to get: B = 12

In other words, Beth raised $12

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com