mixtures

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[email protected]: Master | Next Rank: 500 Posts; Posts: 117; Joined: Mon Oct 27, 2008 5:08 pm; Thanked: 1 times

by [email protected] » Tue Mar 03, 2009 5:54 pm

A pool inspector pours 2 liters of 16% chlorine solution into 8 liters of 20% chlorine solution. How many liters of the resulting solution must she add to 1 liter of a 30% chlorine solution to create a solution that is 24% chlorine?

1.2

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Source: Beat The GMAT — Problem Solving | Tue Mar 03, 2009 5:54 pm

vcgmat: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Feb 16, 2009 6:53 pm

by vcgmat » Tue Mar 03, 2009 6:53 pm

I am getting 1.25

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mygmat.2009: Senior | Next Rank: 100 Posts; Posts: 42; Joined: Thu Feb 19, 2009 10:26 am; Thanked: 3 times; GMAT Score:720

by mygmat.2009 » Tue Mar 03, 2009 7:04 pm

I'm getting 1.25 too...

2 x 0.16 = 0.32 liters of chlorine
8 x 0.2 = 1.6 liters of chlorine

Resulting solution 1:
1.92 liters of chlorine solution in 10 liters solution
==> 19.2 %

0.192(X) + 0.3(1) = 0.24 (X +1)
0.048 X = 0.06
X = 1.25

Cheers,
Sam

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