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iragen
[17]
3 years ago
14
You and your friend are making 30 liters of sodium water. You have liters of 10% sodium and your friend has liters of 22% sodium
. How many of your liters and how many of your friends liters should you mix to make 30 liters of 15% sodium?
Mathematics
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iren
[92.7K]
3 years ago
4
0
X liters of 10% + (30 - x) liters of 22% = 30 liters of 15%
<span>Plugging in the numbers </span>
<span>x(10) + (30 - x)22 = 30(15) </span>
<span>Distribute </span>
<span>10x + 660 - 22x = 450 </span>
<span>Combine like terms </span>
<span>-12x = -210 </span>
<span>Divide both sides by -12 </span>
<span>x = 17.5 </span>
<span>30 - x = 12.5 </span>
<span>17.5 liters of 10% + 12.5 liters of 22% = 30 liters of 15%
THE TRICK IS TO JUST USE ONLY ONE VARIABLE</span>
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