# Algebra

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1. A lab technician mixed a 660 ml solution of water and alcohol. If 3% of the solution is alcohol, how many milometers of alcohol were used, and how many milometers of water were used?
• 1. Multiply the total (660) times the percentage (0.03) to find out how much alcohol there is, you need 3% of the solution.
• 2. You then subtract whatever number you get (19.8) from the total (660) and you get how much water there is (640.2).
2. A basketball team sells tickets that cost \$10, \$20, or, for VIP seats \$30. The team has sold 493 tickets overall. It has sold 187 more \$20 tickets than \$10 tickets. The total sales are \$8870. How may tickets of each kind have been sold?
This ends up being just a substitution problem with three equations. First find the equations,

• 1. x+y+z=493
• 2. 10x+20y+30z=8870
• 3. y=x+187

Then substitute in y where it needs to be, getting rid of y, then use the substitution method to get rid of the x or z and give the number up by itself. Solve like any other substitution problem. :)
3. When multiplying exponents: