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University

by umaa » Tue Jun 30, 2009 9:47 pm
A university awarded grantss in the amount of entire $7,000 or $10,000 to some incoming freshmen. The total amount of all such awards was $2,300,000. Did the university award more $7,000 grants than $10,000 grants to its incoming freshmen?

1. A total of 275 freshmen received grants in one of the two amounts.

2. The amount of money awarded in $10,000 grants was $200,000 more than the amount of money awarded in $7,000 grants.
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Source: — Data Sufficiency |
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by tohellandback » Tue Jun 30, 2009 10:12 pm
IMO D
1) you can get the equation 70000x+10000*(275-x)=2300000
so sufficient
2) we have two equation for two variables
7000x+10000y=2300000
and
10000y=7000x+200000
The powers of two are bloody impolite!!
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