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Answers by Toby B.

mystery number (answer)

The largest digit is worth 8000, while the smallest is .01, so the number  is    8ABC.D1, where ABCD are digits we don't yet know.   The digit in the tens place (B) is 2 less than the one in the hundreds place (A).  But when you add them together, they total...

We're given 2 bits of information about this petting zoo...the amount of fencing used to enclose it and the area   Let's call the length of the rectangle l and the width w.   The fencing goes around the outside of the rectangle, which is known as the perimeter.  Therefore...

Remember Distance = Rate x Time In this case, we know a total distance and a total time, but not the individual rates.  Also, there are two time periods to consider: the time TS travelled alone (2 hours) and the time they both travelled (6-2, or 4 hours)   TS travelled...

Since Batman is going faster than the Joker, he is catching up to him, which lessens the gap between them.   Batman is going 60 mph, and the Joker 40 mph, so every hour, Batman gains 20 miles on the Joker.   The Joker started 60 miles ahead, so it will take 60/20 = 3 hours...

Current mixture:  50 lbs x .96 = 48 lbs of concrete,  2 lbs of water   You want:            60 lbs x .95 = 57 lbs of concrete, 3 lbs of water   Therefore, you must add             9 lbs of concrete,  1...

Scale question (answer)

You can set up a proportion:   1/4 inch   =     _ X          20 miles          216 miles   Cross multiply:  (1/4 inch)*(216 miles) = x * (20 miles) Combine & Cancel:  1/4*216...

Linear equation (answer)

If one person takes X days to do a job and another takes Y days to do a job, the time it takes them to do it together is       XY .       X+Y    So, if, in this problem, the job together takes 28/11 days, then X * Y = 28 and...

If you see a question like this, that looks like straightforward arithmetic, but involves multiplication, division, addition, and subtraction (or any combination of those), you should be thinking "This is probably testing me on Order of Operations."   With Order of Operations,...

Question 1 asks you to look at a line representing how far Manuel walks (y-axis) based on how long he's been walking (x-axis).  Because it's a straight line, you know he walks at constant speed.  Then, you have to look at other data points to determine which of them would also appear on...

To solve for the value of the check you must take into account that the teller transposed the dollars and cents.  (e.g. gave you 41.56 when the check was supposed to be 56.41). This means that you must represent the dollars and cents as different variables within the same number (e.g. $d.c) ...

5*10+-18=n+55 (answer)

Remember the rules for order of operations: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction (PEMDAS) There aren't any Parentheses or Exponents,, so the next step is Multiplication and Division. 5 times 10 is 50, so the new equation is 50 + -18 = n + 55  Next...

Assuming the original problem is: [(m/4)*(n/3)]-1 divided by [(-5m/-3)*(n4)]2 The numerator becomes  (mn/12)-1. Any fraction to the -1 power is just flipped, so this becomes 12/mn The denominator becomes (-5mn4/-3)2  Squaring a fraction means squaring its numerator and denominator,...