Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
OA B
Source: Magoosh
Solve 700Level Algebra Qs In 90 Secs!
Master 700level Inequalities and Absolute Value Questions
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of
This topic has expert replies

 Moderator
 Posts: 7187
 Joined: Thu Sep 07, 2017 4:43 pm
 Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 16201
 Joined: Mon Dec 08, 2008 6:26 pm
 Location: Vancouver, BC
 Thanked: 5254 times
 Followed by:1268 members
 GMAT Score:770
Let w = John’s weekly allowanceBTGmoderatorDC wrote: ↑Fri Dec 30, 2022 7:14 amHaving received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
OA B
Source: Magoosh
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade
If John spent 3/5 of his allowance, then he has 2/5 REMAINING
So, (2/5)(w) = allowance REMAINING
The next day he spent one third of his remaining allowance at the toy store
If he spent 1/3, then he has 2/3 REMAINING
So, (2/3)(2/5)(w) = allowance REMAINING
Once all of this is done, John has $0.80 REMAINING
So (2/3)(2/5)(w) = 0.8
Simplify: (4/15)(w) = 0.8
Multiply both sides by 15 to get: 4w = 12
Divide both sides by 4 to get: w = 3
Answer: B
Cheers,
Brent
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 6896
 Joined: Sat Apr 25, 2015 10:56 am
 Location: Los Angeles, CA
 Thanked: 43 times
 Followed by:29 members
Solution:BTGmoderatorDC wrote: ↑Fri Dec 30, 2022 7:14 amHaving received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John’s weekly allowance?
A. $2.40
B. $3.00
C. $3.20
D. $3.60
E. $4.80
OA B
Source: Magoosh
We can let n = the weekly allowance and create the equation:
(3/5)n + 1/3(2/5)n + 0.8 = n
3n/5 + 2n/15 + 0.8 = n
Multiplying by 15, we have:
9n + 2n + 12 = 15n
12 = 4n
3 = n
Answer: B
Scott WoodburyStewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews