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Daniel O.'s Resources

Let x=the amount invested at 5%.  Then the amount invested at 8% is \$28,000-x.  (For instance, if she invested 11,000 at one rate, the remainder (17,000) is 28,000-11,000).   The 5% investment earns 25% as much As the 8% investment, so we can set up an equation that looks...

The height of the trees doesn't matter. the volume of a cylinder is (pi)(r^2)(h) (the area of the circle times the height).  For each tree, that's 17 squared (radius is half of the diameter) times 28 cubic inches, or 8,092 cubic inches.  That's a total of 32,368 cubic inches (since there...

Pick a definition for your unknown.  Say, x= amount Freddie spent.  How much did Willy spend?  Four times as much, so 4x.  Combined, they spend \$17.50, so:   x+4x=17.50 5x=17.50 x=17.50/5 x=3.5, or \$3.50

C = Charlie's age; G = Gwen's age.   Next year, C = (1/2)(G)  ("of" means "multiply" in a word problem, so "half of Gwen's age" means multiply Gwen's age by 1/2).   Also next year, G = C+6.   Multiply both sides of the...

You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate.  Rate is measured in something per unit of time, and "per" indicates division.  So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve).  So add the...

Another way of looking at the question (and getting around the algebra) is this: Julio was 25 years old when James was born (36-11=25).  So when James hits 25, Julio will be twice his age.  James is 11, so that will happen in 14 years.   To check: In 14 years, James will be...

The friends at 2/3 of 3/4.  "Of" is word problem for "multiply."  They ate (2/3)(3/4).  To multiply fractions, multiply the top across, and the bottom across:  (2/3)(3/4) = 6/12, which reduces to 1/2, since you can evenly divide both 6 and 12 by 6.  Your...

In word problems, "of" is a multiplication indicator.  What does the "it" refer to in the problem?  The \$30.  In other words, you spend 20% of the \$30.  20 percent can be looked at a few different ways.  "percent" literally means "divided...

There are two things you're looking for - the amount invested in stocks, and the amount invested in bonds.  To help keep things straight, let's use S and B (respectively) to represent them.  So, what do we know about S and B?   S + B = 40,000.   The total investment...

Philosophy majors can probably skip this one, but for the other 99% of you…if you’re not thoroughly comfortable with the logical implications of conditional statements (“If P, then Q”), then stick around…they’re important on the LSAT, and particularly…the Logic Games. Surprisingly, there are many levels that pertain to conditionals, so, we’re going to take it from Square 1. From the Statement... read more