All Questions

Here’s a new twist to a puzzle. I’ll give you the question and answer here:
If 40 is added to \(\dfrac{1}{2}\) of a number, the result is triple the number.
The answer: 16
Now you show me how to solve this puzzle using an equation.

You have a bag with six black cubes and three white cubes. Without looking when you make your selections, what is the probability of choosing two black cubes in a row?

A large carton of ice cream is balanced on a scale by a 5/8 carton of the same ice cream plus 5/8 of a pound. How much does the whole carton weigh?

Bill has 50 pieces of candy. There are 10 each of 5 different colors. The candy dish is on top of the refrigerator, so he can’t see what colors he pulls from the dish.
His sister Linda says, “I’ll bet you can’t tell me how many pieces of candy you would have to take out of the dish to make sure you had five pieces of the same color.”
Bill responded immediately with the correct answer. Can you?

In the alphametic below, let A = 7, D = 5, M = 9, and T = 4. No word can begin with zero. What are the values of the other letters that will make this alphametic add up correctly?

ADD + IT + UP + MATH + IS = SHARP

What are the missing digits in the multiplication puzzle below? All the missing digits are different numbers.

AB6 \(\times\) 7 = C85D

Annie has nickels and dimes in her pocket. She has three times as many dimes as nickels. Her friend Brenda says, “I can write an expression that will tell me exactly the amount of money you have in your pocket when you have three times as many dimes as nickels. All I need to know is how many nickels you have, and I can show you the correct amount.”

If x equals the number of nickels, then Brenda’s expression reads:

a. x + 3x

b. 35x

c. x(2x + .05)

d. There is no expression.

If \(2=\dfrac{1}{5}\) , then what does 7 equal?

The product of two numbers is 168, and their difference is 2. What are the two numbers?

YY + YY = XYZ

What is the value that Z could have?