- #1
FaraDazed
- 347
- 2
Homework Statement
Question A: Solve the following equation for x, express answer in standard form to three significant figures.
[tex]
24 = \frac{3x-1}{7x}-\frac{2}{3x}
[/tex]
Question B:
A solution containing 13% alcohol is then mixed with a another solution containing 5%
alcohol. When they are combined there is a total of 24 litres of solution containing 8% alco-
hol.
Write down two equations that represent the information given, and then using alegbra, find out how much of each solution is present.
Homework Equations
n/a
The Attempt at a Solution
I think I have done question A. There is probably a better/easier way of doing it but hey,
[tex]
24 = \frac{3x-1}{7x}-\frac{2}{3x} \\
24 = \frac{3x-1}{7x}-\frac{2\frac{7}{3}}{3x\frac{7}{3}} \\
24 = \frac{3x-1}{7x}-\frac{\frac{14}{3}}{7x} \\
24 = \frac{3x-1-\frac{14}{3}}{7x} \\
168x=3x-1-\frac{14}{3} \\
165x=-\frac{17}{3} \\
x=\frac{-\frac{17}{3}}{165}=-0.0343 = 3.43 ×10^{-2}
[/tex]
Question B I am really stuck on. At the moment I have just tried to write down the equations, probably completely wrong, but its all I have.
[tex]
0.13A_1+0.05A_2=0.08(24)
[/tex]
Where A is the amount of each solution but have no idea if that is correct and/or how to progress