SOLUTION: A popular ratio of the chemical compounds nitrogen, phosphoric acid, and potassium oxide in lawn fertilizer is 12:4:8. How much of each of these compounds is found in a 75 kg bag?

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Question 617520: A popular ratio of the chemical compounds nitrogen, phosphoric acid, and potassium oxide in lawn fertilizer is 12:4:8. How much of each of these compounds is found in a 75 kg bag?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A popular ratio of the chemical compounds nitrogen, phosphoric acid, and potassium oxide in lawn fertilizer is 12:4:8.
How much of each of these compounds is found in a 75 kg bag?
:
Let x = the multiplier
:
12x + 4x + 8x = 75
24x = 75
x = 75/24
x = 3.125
then
12*3.125 = 37.5 kg nitro
4 *3.125 = 12.5 kg phos
8 *3.125 + 25.0 kg pot
------------------------
check tot: 75.0 kg