## Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of

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### Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of

by BTGmoderatorDC » Fri Dec 30, 2022 7:14 am

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## Global Stats

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

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### Re: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third

by [email protected] » Tue Jan 03, 2023 7:08 am
BTGmoderatorDC wrote:
Fri Dec 30, 2022 7:14 am
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
Let w = John’s weekly allowance

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 Brent Hanneson - Creator of GMATPrepNow.com ### GMAT/MBA Expert GMAT Instructor Posts: 6800 Joined: Sat Apr 25, 2015 10:56 am Location: Los Angeles, CA Thanked: 43 times Followed by:29 members ### Re: Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third by [email protected] » Wed Jan 11, 2023 9:43 am BTGmoderatorDC wrote: Fri Dec 30, 2022 7:14 am 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
Solution:

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

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