SOLUTION: The ratio of nitrogen to phosphorus to potash in a fertilizer is 7 : 5 : 3. If there are 35 kg of nitrogen, calculate the mass of the phosphorus and the mass of the potash.

Algebra ->  Proportions -> SOLUTION: The ratio of nitrogen to phosphorus to potash in a fertilizer is 7 : 5 : 3. If there are 35 kg of nitrogen, calculate the mass of the phosphorus and the mass of the potash.      Log On


   

Question 12145: The ratio of nitrogen to phosphorus to potash in a fertilizer is 7 : 5 : 3. If there are 35 kg of nitrogen, calculate the mass of the phosphorus and the mass of the potash.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Set up the ratio:
7%2F%28Nitrogen%29+=+5%2F%28Phosphorus%29+=+3%2F%28Potash%29+

You need to solve this equation:
7%2F35+=+5%2F%28Phosphorus%29+=+3%2F%28Potash%29

However, the faster way to do this is to recognize that the first denominator is 5 times the numerator. Therefore, the other denominators will each be 5 times the respective numerators.

Therefore, there will be 5*5 = 25 kg phosphorus and 5 *3 = 15 kg potash.

R^2 at SCC