word problem

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kksekar: Junior | Next Rank: 30 Posts; Posts: 16; Joined: Wed Jan 18, 2012 9:18 pm; Thanked: 1 times

by kksekar » Mon May 07, 2012 2:57 am

Jessi has an investment portfolio of stocks and bond. If she sells half her stocks, how many stocks and bonds will she have?
If she buys 6 more stocks, she will have twice stocks as bonds.Triple the number of bonds, she would have 3 less than twice the number of stocks.

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Source: Beat The GMAT — Problem Solving | Mon May 07, 2012 2:57 am

aneesh.kg: Master | Next Rank: 500 Posts; Posts: 385; Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members; Location: Pune, India; Thanked: 186 times

by aneesh.kg » Mon May 07, 2012 3:04 am

IMO, The problem's language is not structured very well.

The problem should have been worded like this:
Jessi has an investment portfolio of stocks and bonds.
If she buys 6 more stocks, she will have twice stocks as bonds.Triple the number of bonds, she would have 3 less than twice the number of stocks. If she sells half her stocks, how many stocks and bonds will she have?

S + 6 = 2B -- (1)
3B = 2S - 3 -- (2)

Using the two equations above,
4B - 12 = 3B + 3
B = 15
S = 24

If she sells half of her stocks, 12 stocks will remain.
So, she will have 12 + 15 = 27 number of stocks and bonds.

Aneesh Bangia
GMAT Math Coach
[email protected]

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