SOLUTION: How many ounces of pure alcohol should be added to 416 ounces of 22% alcohol solution to produce a solution that is 36 %? Present your answer as an integer or a reduced fracti

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Question 1184984: How many ounces of pure alcohol should be added to 416 ounces of 22% alcohol solution to produce a solution that is 36 %?

Present your answer as an integer or a reduced fraction. Do not use decimals.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
w ounces of pure alcohol to add

1%2Aw%2B0.22%2A416=0.36%28w%2B416%29--------this accounts for amount of pure alcohol.
Solve.

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The direction, to not use decimals seems unnecessary. Do you really want the equation to start as w%2B%2822%2F100%29%2A416=%2836%2F100%29%28w%2B416%29 ? You could do that, if you really want.

w%2B%2811%2F50%29%28416%29=%289%2F25%29%28w%2B416%29as_possible_first_step
w%2B%2811%2F25%29%28208%29=%289%2F25%29%28w%2B416%29
25w%2B11%2A208=9%28w%2B416%29
25w%2B11%2A208=9w%2B9%2A416
16w=9%2A416-11%2A208=9%2A2%2A208-11%2A208
16w=7%2A208
w=7%2A13
highlight%28w=91%29