# Can someone work out these mixtures and weighted averages problems?

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• Oct 16th 2011, 06:41 PM
Chuatola
Can someone work out these mixtures and weighted averages problems?
Studying for a test and I would like to see these problems set up as an equation and then worked out please. Thanks!

1.How many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?

2.Two airplanes leave the Atlanta airport at the same time, traveling in opposite directions. One plane travels 30 miles per hour faster than the other. After 3 hours, the planes are 3150 miles apart. What is the rate of each plane?
Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.

3.Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.
• Oct 16th 2011, 06:47 PM
TKHunny
Re: Can someone work out these mixtures and weighted averages problems?
Solution - ALWAYS find one substance and build an equation.

Start with how much acid
Add how much acid
End up with how much acid

OR

Start with how much nonacid
Add how much nonacid
End up with how much nonacid

In this case, 6 litre solution * 0.15 = 0.9 litre acid, and thus 6 litre mixture - 0.9 litre acid = 5.1 litre nonacid.

There you go, either or these will get you on your way...

Start with 0.9 litre acid

Start with 5.1 litre nonacid