SOLUTION: Please help me solve this problem Mixtures A and B contain baking soda. Mixture A is 12% baking soda and Mixture B is 25% baking soda. How many ounces of the 12% mixture must be

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Question 1099581: Please help me solve this problem Mixtures A and B contain baking soda. Mixture A is 12% baking soda and Mixture B is 25% baking soda.
How many ounces of the 12% mixture must be added to 130 ounces of the 25% mixture to produce 52 ounces of baking soda in the final solution?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = ounces of mixture A to be added
= ounces of baking soda in mixture A
= ounces of baking soda in mixture B
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Add 162.5 ounces of mixture A
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check answer :

So you end up with a 32% mixture
( not required by problem )
OK

Answer by ikleyn(52786) (Show Source):
You can put this solution on YOUR website!
.
Please help me solve this problem Mixtures A and B contain baking soda. Mixture A is 12% baking soda and Mixture B is 25% baking soda.
How many ounces of the 12% mixture must be added to 130 ounces of the 25% mixture to produce 52 ounces of baking soda in the final solution?
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130 ounces of the 25% mixture contain 0.25*130 = 32.5 ounces of baking soda. So, we need to add 52 - 32.5 = 19.5 ounces of soda. But it must come as 12% solution. So, the amount of this 12% solution is = 162.5 ounces.