Arithmetic

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pm; Followed by:6 members

Arithmetic

by BTGmoderatorRO » Fri Dec 29, 2017 8:50 am

8,000 dollars are sufficient for a family of 4 members for 40 days. For how many days 15,000 dollars will be sufficient for a family of 5 members?

A. 45 days
B. 54 days
C. 70 days
D. 65 days
E. 60 days

OA is E

Do I need to solve this with a formula? Pls and Expert should do justice here. Thanks

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Source: Beat The GMAT — Problem Solving | Fri Dec 29, 2017 8:50 am

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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

by Brent@GMATPrepNow » Fri Dec 29, 2017 8:52 am

Roland2rule wrote:8,000 dollars are sufficient for a family of 4 members for 40 days. For how many days 15,000 dollars will be sufficient for a family of 5 members?

A. 45 days
B. 54 days
C. 70 days
D. 65 days
E. 60 days

GIVEN: 8,000 dollars are sufficient for a family of 4 members for 40 days.
So, 10,000 dollars are sufficient for a family of 5 members for 40 days. [If we increase the money by 25%, then we can feed 25% more people]
And, 15,000 dollars are sufficient for a family of 5 members for 60 days. [If we increase the money by 50%, then that money will last 50% longer]

Answer: E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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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

by Scott@TargetTestPrep » Mon Sep 02, 2019 6:29 pm

BTGmoderatorRO wrote:8,000 dollars are sufficient for a family of 4 members for 40 days. For how many days 15,000 dollars will be sufficient for a family of 5 members?

A. 45 days
B. 54 days
C. 70 days
D. 65 days
E. 60 days

OA is E

Do I need to solve this with a formula? Pls and Expert should do justice here. Thanks

The rate for 4 members is 8000/40 = 200 dollars per day for the family of 4, so the rate for 1 member is 50 dollars per day.

Thus, the rate for 5 members is 50 x 5 = 250 dollars per day, so 15,000 dollars will last for 15,000/250 = 60 days.

Answer: E

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