SOLUTION: How many ounces of 20% antifreeze solution must be mixed with 30 ounces of a 50% antifreeze solution to make a 40% antifreeze solution? I have no idea where to start on this. Pleas

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Question 16767: How many ounces of 20% antifreeze solution must be mixed with 30 ounces of a 50% antifreeze solution to make a 40% antifreeze solution? I have no idea where to start on this. Please help
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Think about this...You want to add x oz. of 20% AF solution to 30 oz. of 50% AF solution to make (30 + x) oz. of 40% AF solution.
You can set up the necessary equation from this description. But first, change the percents to their decimal equivalents. 20% = 0.2, 40% = 0.4, and 50% = 0.5
0.2x+%2B+0.5%2830%29+=+%2830+%2B+x%29%280.4%29 Simplify and solve for x.
0.2x+%2B+15+=+12+%2B+0.4x Subtract 0.2x from both sides.
15+=+12+%2B+0.2x Now subtract 12 from both sides.
3+=+0.2x Finally, divide both sides by 0.2
15+=+x
You need to add 15 oz. of 20% AF solution to the 30 oz. of 50% AF solution to make 45 oz. of 40% AF solution.