Puzzle #20 – Fruit Puzzle
Apple is 7.
Group of grapes is 12. (5 + 7).
Bananas are 6 (7= 6 + 1) so, the value of each banana is 2.
So 7 + 24(2 groups of grapes) + 2(single banana) = 33.
Puzzle #19 – Lock Puzzle
From Clues 1 and 2 we know that one 5 is not in the code
from Clue 3 we know that 1 and 7 are part of code
from Clue 4 we know that 8 is also in the code.
So the 3 numbers in the code are 8,1 and 7. Now solve for order.
From Clue 1 we know that 8 is the third number
From clue 3 we know that 1 and 7 are in wrong place so we now know that,
7 is first, 1 is second in code and 8 is third.
So the Code is 718.
Puzzle #18 – Puzzle of 3s
Many think it is 1 because of one of two common errors. The first common error is failing to see that when a number is alone inside a set of parentheses, you remove the parentheses. If a number is sitting beside a set of parentheses with only a number inside them, it’s multiplication. The second common error is believing multiplication always comes before division. That isn’t true. They hold equal priority and are performed in order from left to right. This holds true for addition and subtraction and they are also performed in order left to right.
With a fraction, we perform the top and then the bottom.
Divide by the bottom number of 3.
Congratulations if you put -7.
I’m sure some won’t believe me and will say there can be two answers or that’s not how they used to teach it or this is crazy new common core method, but it’s not. Perhaps you were taught incorrectly, but the order of operations has never changed. The oldest algebra I have researched and found was printed in 1910, and it is used in it this way. Unless you went through school before 1910, this is the method that should have been taught.
This question and answer was submitted by one of our facebook readers – Eric Peyton, who is a high school math teacher. So credit goes to him for this wonderful question.
Puzzle #17 – Tank Puzzle 2
Puzzle #16 – Paper Puzzle
Puzzle #15 – Color Blindness Test
Puzzle #14 – Circles Puzzle
Puzzle #13 – Arithmetic Puzzle
The value of 6 spoked wheel is 6.
The value of 10 forked tree is 10.
The value of 4 leaved clover is 4.
So no matter what you follow PEMDAS or BODMAS, the equation should be solved in the following order: multiplication, addition, subraction.
Therefore the final equation becomes 5 – 4 x 12 + 12 (wheel is 5 spoked here, clover is four leaved and the tree is 12 forked). So according to original order of operations it should be solved as follows:
5 – (4 x 12) + 12
5 – 48 + 12
-43 + 12 (Addition & Subtraction have equal precedence in order operations and should be solved from left to right).
Therefore the answer is negative 31 or -31.