Pizzazz worksheet!?!?! B-78 number 6 – test of genius?

Pizzazz worksheet!?!?! B-78 number 6 – test of genius?

• I totally understand the type of problem you’re trying to solve. I’ve been working with it, but I cannot come up with a solution. Could you check through your comments and make sure you haven’t made a typo anywhere?

: Here’s my reasoning for why I think there’s a typo / no solution:

Looking at the first row, you have * / __ = 15

Let’s call those blanks letters: x * y / z = 15

Since the last step (z) is to divide, let’s look at some examples of what z could be

1 .. 15/1 = 15

2 .. 30/2 = 15

3 .. 45/3 = 15

4 .. 60/4 = 15

Before continuing, let’s look at 60 / 4 = 15

We would need two numbers to multiply together to get 60.

60 is formed by multiplying 2 x 2 x 3 x 5 .. therefore, that is not possible with just single digits 1 through 9.

So, our options for z must be 1, 2, or 3. That means x * y must be 15, 30 or 45.

To get those multiples you have either 5 3, 5 6, or 5 * 9

The next step is to look vertically. Both x and y are divided. Since the answers are whole numbers, it stands to reason that the answer to x / ? must be whole, as well as y / ?

5 can only be divided by 1. same with 3. So that means z = 1 is out

5 can only be divided by 1. 9 can be divided by 3. However, that situation is when z = 3. Since each must be a unique digit, this solution will not work.

So that must mean z = 2. That gives us values of 5 and 6 for x and y, although we don’t know the order.

Looking at the second row, we see * __ = 24

Let’s call those blanks a, b and c.

If x = 5, then 5 / 1 which means a = 1. That makes y = 6, then 6 / 3 which means b = 3. That would give us an equation of 1 – 3 * __ = 24 . That’s a negative value and wouldn’t work.

Similarly, if the roles are reversed, you get 3 – 1 * __ = 24. The only number to fit there is 12, but that’s not a single digit.

This is why I feel there is no solution.. or I’ve missed something crucial.

• Test Of Genius Answers B-78

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let x = boys = have 2 legs = has 1 head let y = dogs = have 4 legs = has 1 head x + y = 40 2x + 4y = 100 (boys=x have 2 legs and dogs=y have 4 legs) just solve the system of equation: -2x – 2y = -80 2x + 4y = 100 2y = 100 – 80 2y = 20 y = 20/2 y = 10 plug y = 10 into any of the equations e.g., x + y = 40 to get x x + 10 = 40 x = 40 – 10 x = 30 so there are 30 boys and 10 dogs.