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Bingel [31]
3 years ago
13

How much pure acid should be mixed with 6 gallons of a 50% acid solution in order to get a 70% acid​ solution?

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0
To help with thinking about this, we can say that the 6 gallons of 50% acid contains 3 gallons of pure acid and 3 gallons of filler. This would make the concentration 3/6, or 50%. Adding a gallon of pure acid would shift the concentration to 4/7, or 57.1%.

When the relationship becomes 70%, four gallons of pure acid have been added.

3+4 7
—— = — = 70%
6+4 10
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<u>What we know</u>:

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<em>Lets first convert the mixed partial fraction --> improper fraction</em>

<em>        --> for easier calculation</em>

<em />

<u>After Conversion:</u>

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<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>

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Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>

<u></u>

<u>Answer: 4</u>

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