13x = 39 can replace 3x + 5y = 59 in the original system and still produce the same solution.
Answer:
16 mls of the 75% solution and 20 mls of the 0.57% solution.
Step-by-step explanation:
Set up a system of equations:
Let x = volume of 75% solution and y be volume of 57% solution
0.75x + 0.57y = 36*0.65
0.75x + 0.57y = 23.4.......(1)
x + y = 36.........(2)
From equation (2):
y = 36 - x
Substituting this into equation(1):
0.75x + (0.57(36 - x) = 23.4
0.75x + 20.52 - 0.57x = 23.4
0.18x = 23.40 - 20.52 = 2.88
x = 2.88/0.18
x = 16
so from equation (2): y = 36-16 = 20.
24.5 x 0.25 = 6.125 acres that will be used for the new park.
24.5 x .72 = 17.65 acres in the second property
The formula for t would be x/7.
In order to find this, we simply follow the order of operations to solve for t.
7t = x ----> Divide both sides by 7
t = x/7