How many gallons of a plant food that is 8% nitrogen must be combined with another plant food that is 20% nitrogen to make 10 gal of a plant food that is 17% nitrogen?
Denote these quantities as x and y. Then
This combination contains
0.08*x + 0.20*y of nitrogen and it must be equal to
We obtain a linear system with two variables and two equations, solve it:
And x=10-y=2.5 (gallons).
The answer: 2.5 and 7.5 gallons, respectively.
Two cyclists start from the same point and ride in opposite directions. One cyclist rides twice as fast as the other. In 2 h, they are 84 mi apart. Find the rate of each cyclist.
So 14 and 28.
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