### Brain Teasers

# Another Mixture

Dr. Joe has 2 liters of 70% benzene solution and 4 liters of 40% benzene solution. Dr. Joe decides to combine both solutions together, creating a 6-liter solution. What is the new percentage of benzene after everything is combined?

### Answer

The new solution will be 50% benzene.First calculate the amount of benzene that you have:

2(.70) = 1.4 liters in the 2-liter solution.

4(.40) = 1.6 liters in the 4-liter solution.

To get the final percentage, add these up and divide by the total amount of solution:

(1.4 + 1.6) / 6.0 = 0.5 = 50% solution.

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## Comments

why is it that every time I submit a problem, somebody has to change it and make it look like nothing i submitted the first time.

If we think a teaser needs a better explanation or a little rewording to make it clearer, we'll fix it up a bit. This is exactly the same teaser that you submitted. I just threw in a few lines to make it clearer for someone who might not understand it as well. When you're submitting teasers you should keep in mind that not everyone will understand your solution if you just show the math. Some explanation is required. Plus, as you may have noticed, the Braingle public can be pretty picky about how things are worded, so you need to make sure that your wording rules out anyone coming up with a trick answer because the wording was a little vague. I hope this answers your question.

Using Ratios will also work.

Benzene:Non-Benzene

70(2)+40(4):30(2)+60(4)

300:300 or 50%

Benzene:Non-Benzene

70(2)+40(4):30(2)+60(4)

300:300 or 50%

ok, that helped. I was just freaked out on another one I sent b/c yall used ethanol and I dont recall using that solution.

ok, I guess my wording is a little off and I need to be a little more elaborate on my explanations.

Does anyone know any good math books for sell, if so please let me know.

hi yall

what else was in the two benzene solutions?

what else was in the two benzene solutions?

thats was confusing

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